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Project acronym ACOPS
Project Advanced Coherent Ultrafast Laser Pulse Stacking
Researcher (PI) Jens Limpert
Host Institution (HI) FRIEDRICH-SCHILLER-UNIVERSITAT JENA
Call Details Consolidator Grant (CoG), PE2, ERC-2013-CoG
Summary "An important driver of scientific progress has always been the envisioning of applications far beyond existing technological capabilities. Such thinking creates new challenges for physicists, driven by the groundbreaking nature of the anticipated application. In the case of laser physics, one of these applications is laser wake-field particle acceleration and possible future uses thereof, such as in collider experiments, or for medical applications such as cancer treatment. To accelerate electrons and positrons to TeV-energies, a laser architecture is required that allows for the combination of high efficiency, Petawatt peak powers, and Megawatt average powers. Developing such a laser system would be a challenging task that might take decades of aggressive research, development, and, most important, revolutionary approaches and innovative ideas. The goal of the ACOPS project is to develop a compact, efficient, scalable, and cost-effective high-average and high-peak power ultra-short pulse laser concept. The proposed approach to this goal relies on the spatially and temporally separated amplification of ultrashort laser pulses in waveguide structures, followed by coherent combination into a single train of pulses with increased average power and pulse energy. This combination can be realized through the coherent addition of the output beams of spatially separated amplifiers, combined with the pulse stacking of temporally separated pulses in passive enhancement cavities, employing a fast-switching element as cavity dumper. Therefore, the three main tasks are the development of kW-class high-repetition-rate driving lasers, the investigation of non-steady state pulse enhancement in passive cavities, and the development of a suitable dumping element. If successful, the proposed concept would undoubtedly provide a tool that would allow researchers to surpass the current limits in high-field physics and accelerator science."
"An important driver of scientific progress has always been the envisioning of applications far beyond existing technological capabilities. Such thinking creates new challenges for physicists, driven by the groundbreaking nature of the anticipated application. In the case of laser physics, one of these applications is laser wake-field particle acceleration and possible future uses thereof, such as in collider experiments, or for medical applications such as cancer treatment. To accelerate electrons and positrons to TeV-energies, a laser architecture is required that allows for the combination of high efficiency, Petawatt peak powers, and Megawatt average powers. Developing such a laser system would be a challenging task that might take decades of aggressive research, development, and, most important, revolutionary approaches and innovative ideas. The goal of the ACOPS project is to develop a compact, efficient, scalable, and cost-effective high-average and high-peak power ultra-short pulse laser concept. The proposed approach to this goal relies on the spatially and temporally separated amplification of ultrashort laser pulses in waveguide structures, followed by coherent combination into a single train of pulses with increased average power and pulse energy. This combination can be realized through the coherent addition of the output beams of spatially separated amplifiers, combined with the pulse stacking of temporally separated pulses in passive enhancement cavities, employing a fast-switching element as cavity dumper. Therefore, the three main tasks are the development of kW-class high-repetition-rate driving lasers, the investigation of non-steady state pulse enhancement in passive cavities, and the development of a suitable dumping element. If successful, the proposed concept would undoubtedly provide a tool that would allow researchers to surpass the current limits in high-field physics and accelerator science."
Project acronym ACTAR TPC
Project Active Target and Time Projection Chamber
Researcher (PI) Gwen Grinyer
Host Institution (HI) GRAND ACCELERATEUR NATIONAL D'IONS LOURDS
Summary The active target and time projection chamber (ACTAR TPC) is a novel gas-filled detection system that will permit new studies into the structure and decays of the most exotic nuclei. The use of a gas volume that acts as a sensitive detection medium and as the reaction target itself (an "active target") offers considerable advantages over traditional nuclear physics detectors and techniques. In high-energy physics, TPC detectors have found profitable applications but their use in nuclear physics has been limited. With the ACTAR TPC design, individual detection pad sizes of 2 mm are the smallest ever attempted in either discipline but is a requirement for high-efficiency and high-resolution nuclear spectroscopy. The corresponding large number of electronic channels (16000 from a surface of only 25×25 cm) requires new developments in high-density electronics and data-acquisition systems that are not yet available in the nuclear physics domain. New experiments in regions of the nuclear chart that cannot be presently contemplated will become feasible with ACTAR TPC.
The active target and time projection chamber (ACTAR TPC) is a novel gas-filled detection system that will permit new studies into the structure and decays of the most exotic nuclei. The use of a gas volume that acts as a sensitive detection medium and as the reaction target itself (an "active target") offers considerable advantages over traditional nuclear physics detectors and techniques. In high-energy physics, TPC detectors have found profitable applications but their use in nuclear physics has been limited. With the ACTAR TPC design, individual detection pad sizes of 2 mm are the smallest ever attempted in either discipline but is a requirement for high-efficiency and high-resolution nuclear spectroscopy. The corresponding large number of electronic channels (16000 from a surface of only 25×25 cm) requires new developments in high-density electronics and data-acquisition systems that are not yet available in the nuclear physics domain. New experiments in regions of the nuclear chart that cannot be presently contemplated will become feasible with ACTAR TPC.
Project acronym AdOC
Project Advance Optical Clocks
Researcher (PI) Sebastien André Marcel Bize
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Summary "The proposed research program has three main objectives. The first and second objectives are to seek extreme precisions in optical atomic spectroscopy and optical clocks, and to use this quest as a mean of exploration in atomic physics. The third objective is to explore new possibilities that stem from extreme precision. These goals will be pursued via three complementary activities: #1: Search for extreme precisions with an Hg optical lattice clock. #2: Explore and exploit the rich Hg system, which is essentially unexplored in the cold and ultra-cold regime. #3: Identify new applications of clocks with extreme precision to Earth science. Clocks can measure directly the gravitational potential via Einstein's gravitational redshift, leading to the idea of "clock-based geodesy". The 2 first activities are experimental and build on an existing setup, where we demonstrated the feasibility of an Hg optical lattice clock. Hg is chosen for its potential to surpass competing systems. We will investigate the unexplored physics of the Hg clock. This includes interactions between Hg atoms, lattice-induced light shifts, and sensitivity to external fields which are specific to the atomic species. Beyond, we will explore the fundamental limits of the optical lattice scheme. We will exploit other remarkable features of Hg associated to the high atomic number and the diversity of stable isotopes. These features enable tests of fundamental physical laws, ultra-precise measurements of isotope shifts, measurement of collisional properties toward evaporative cooling and quantum gases of Hg, investigation of forbidden transitions promising for measuring the nuclear anapole moment of Hg. The third activity is theoretical and is aimed at initiating collaborations with experts in modelling Earth gravity. With this expertise, we will identify the most promising and realistic approaches for clocks and emerging remote comparison methods to contribute to geodesy, hydrology, oceanography, etc."
"The proposed research program has three main objectives. The first and second objectives are to seek extreme precisions in optical atomic spectroscopy and optical clocks, and to use this quest as a mean of exploration in atomic physics. The third objective is to explore new possibilities that stem from extreme precision. These goals will be pursued via three complementary activities: #1: Search for extreme precisions with an Hg optical lattice clock. #2: Explore and exploit the rich Hg system, which is essentially unexplored in the cold and ultra-cold regime. #3: Identify new applications of clocks with extreme precision to Earth science. Clocks can measure directly the gravitational potential via Einstein's gravitational redshift, leading to the idea of "clock-based geodesy". The 2 first activities are experimental and build on an existing setup, where we demonstrated the feasibility of an Hg optical lattice clock. Hg is chosen for its potential to surpass competing systems. We will investigate the unexplored physics of the Hg clock. This includes interactions between Hg atoms, lattice-induced light shifts, and sensitivity to external fields which are specific to the atomic species. Beyond, we will explore the fundamental limits of the optical lattice scheme. We will exploit other remarkable features of Hg associated to the high atomic number and the diversity of stable isotopes. These features enable tests of fundamental physical laws, ultra-precise measurements of isotope shifts, measurement of collisional properties toward evaporative cooling and quantum gases of Hg, investigation of forbidden transitions promising for measuring the nuclear anapole moment of Hg. The third activity is theoretical and is aimed at initiating collaborations with experts in modelling Earth gravity. With this expertise, we will identify the most promising and realistic approaches for clocks and emerging remote comparison methods to contribute to geodesy, hydrology, oceanography, etc."
Project acronym AtomicGaugeSimulator
Project Classical and Atomic Quantum Simulation of Gauge Theories in Particle and Condensed Matter Physics
Researcher (PI) Uwe-Jens Richard Christian Wiese
Host Institution (HI) UNIVERSITAET BERN
Summary Gauge theories play a central role in particle and condensed matter physics. Heavy-ion collisions explore the strong dynamics of quarks and gluons, which also governs the deep interior of neutron stars, while strongly correlated electrons determine the physics of high-temperature superconductors and spin liquids. Numerical simulations of such systems are often hindered by sign problems. In quantum link models - an alternative formulation of gauge theories developed by the applicant - gauge fields emerge from discrete quantum variables. In the past year, in close collaboration with atomic physicists, we have established quantum link models as a framework for the atomic quantum simulation of dynamical gauge fields. Abelian gauge theories can be realized with Bose-Fermi mixtures of ultracold atoms in an optical lattice, while non-Abelian gauge fields arise from fermionic constituents embodied by alkaline-earth atoms. Quantum simulators, which do not suffer from the sign problem, shall be constructed to address non-trivial dynamics, including quantum phase transitions in spin liquids, the real-time dynamics of confining strings as well as of chiral symmetry restoration at finite temperature and baryon density, baryon superfluidity, or color-flavor locking. New classical simulation algorithms shall be developed in order to solve severe sign problems, to investigate confining gauge theories, and to validate the proposed quantum simulators. Starting from U(1) and SU(2) gauge theories, an atomic physics tool box shall be developed for quantum simulation of gauge theories of increasing complexity, ultimately aiming at 4-d Quantum Chromodynamics (QCD). This project is based on innovative ideas from particle, condensed matter, and computational physics, and requires an interdisciplinary team of researchers. It has the potential to drastically increase the power of simulations and to address very challenging problems that cannot be solved with classical simulation methods.
Gauge theories play a central role in particle and condensed matter physics. Heavy-ion collisions explore the strong dynamics of quarks and gluons, which also governs the deep interior of neutron stars, while strongly correlated electrons determine the physics of high-temperature superconductors and spin liquids. Numerical simulations of such systems are often hindered by sign problems. In quantum link models - an alternative formulation of gauge theories developed by the applicant - gauge fields emerge from discrete quantum variables. In the past year, in close collaboration with atomic physicists, we have established quantum link models as a framework for the atomic quantum simulation of dynamical gauge fields. Abelian gauge theories can be realized with Bose-Fermi mixtures of ultracold atoms in an optical lattice, while non-Abelian gauge fields arise from fermionic constituents embodied by alkaline-earth atoms. Quantum simulators, which do not suffer from the sign problem, shall be constructed to address non-trivial dynamics, including quantum phase transitions in spin liquids, the real-time dynamics of confining strings as well as of chiral symmetry restoration at finite temperature and baryon density, baryon superfluidity, or color-flavor locking. New classical simulation algorithms shall be developed in order to solve severe sign problems, to investigate confining gauge theories, and to validate the proposed quantum simulators. Starting from U(1) and SU(2) gauge theories, an atomic physics tool box shall be developed for quantum simulation of gauge theories of increasing complexity, ultimately aiming at 4-d Quantum Chromodynamics (QCD). This project is based on innovative ideas from particle, condensed matter, and computational physics, and requires an interdisciplinary team of researchers. It has the potential to drastically increase the power of simulations and to address very challenging problems that cannot be solved with classical simulation methods.
Project acronym CALDER
Project Cryogenic wide-Area Light Detectors with Excellent Resolution
Researcher (PI) Marco Vignati
Host Institution (HI) ISTITUTO NAZIONALE DI FISICA NUCLEARE
Summary "In the comprehension of fundamental laws of nature, particle physics is now facing two important questions: 1) What is the nature of the neutrino, is it a standard (Dirac) particle or a Majorana particle? The nature of the neutrino plays a crucial role in the global framework of particle interactions and in cosmology. The only practicable way to answer this question is to search for a nuclear process called ""neutrinoless double beta decay"" (0nuDBD). 2) What is the so called ""dark matter"" made of? Astrophysical observations suggest that the largest part of the mass of the Universe is composed by a form of matter other than atoms and known matter constituents. We still do not know what dark matter is made of because its rate of interaction with ordinary matter is really low, thus making the direct experimental detection extremely difficult. Both 0nuDBD and dark matter interactions are rare processes and can be detected using the same experimental technique. Bolometers are promising devices and their combination with light detectors provides the identification of interacting particles, a powerful tool to reduce the background. The goal of CALDER is to realize a new type of light detectors to improve the upcoming generation of bolometric experiments. The detectors will be designed to feature unprecedented energy resolution and reliability, to ensure an almost complete particle identification. In case of success, CUORE, a 0nuDBD experiment in construction, would gain in sensitivity by up to a factor 6. LUCIFER, a 0nuDBD experiment already implementing the light detection, could be sensitive also to dark matter interactions, thus increasing its research potential. The light detectors will be based on Kinetic Inductance Detectors (KIDs), a new technology that proved its potential in astrophysical applications but that is still new in the field of particle physics and rare event searches."
"In the comprehension of fundamental laws of nature, particle physics is now facing two important questions: 1) What is the nature of the neutrino, is it a standard (Dirac) particle or a Majorana particle? The nature of the neutrino plays a crucial role in the global framework of particle interactions and in cosmology. The only practicable way to answer this question is to search for a nuclear process called ""neutrinoless double beta decay"" (0nuDBD). 2) What is the so called ""dark matter"" made of? Astrophysical observations suggest that the largest part of the mass of the Universe is composed by a form of matter other than atoms and known matter constituents. We still do not know what dark matter is made of because its rate of interaction with ordinary matter is really low, thus making the direct experimental detection extremely difficult. Both 0nuDBD and dark matter interactions are rare processes and can be detected using the same experimental technique. Bolometers are promising devices and their combination with light detectors provides the identification of interacting particles, a powerful tool to reduce the background. The goal of CALDER is to realize a new type of light detectors to improve the upcoming generation of bolometric experiments. The detectors will be designed to feature unprecedented energy resolution and reliability, to ensure an almost complete particle identification. In case of success, CUORE, a 0nuDBD experiment in construction, would gain in sensitivity by up to a factor 6. LUCIFER, a 0nuDBD experiment already implementing the light detection, could be sensitive also to dark matter interactions, thus increasing its research potential. The light detectors will be based on Kinetic Inductance Detectors (KIDs), a new technology that proved its potential in astrophysical applications but that is still new in the field of particle physics and rare event searches."
Project acronym CODE
Project Condensation in designed systems
Researcher (PI) Päivi Elina Törmä
Host Institution (HI) AALTO KORKEAKOULUSAATIO SR
Summary "Quantum coherent phenomena, especially marcoscopic quantum coherence, are among the most striking predictions of quantum mechanics. They have lead to remarkable applications such as lasers and modern optical technologies, and in the future, breakthroughs such as quantum information processing are envisioned. Macroscopic quantum coherence is manifested in Bose-Einstein condensation (BEC), superfluidity, and superconductivity, which have been observed in a variety of systems and continue to be at the front line of scientific research. Here my objective is to extend the realm of Bose-Einstein condensation into new conceptual and practical directions. I focus on the role of a hybrid character of the object that condenses and on the role of non-equilibrium in the BEC phenomenon. The work is mostly theoretical but has also an experimental part. I study two new types of hybrids, fundamentally different from each other. First, I consider pairing and superfluidity in a mixed geometry. Experimental realization of mixed geometries is becoming feasible in ultracold gases. Second, I explore the possibility of finding novel hybrids of light and matter excitations that may display condensation. By combining insight from these two cases, my goal is to understand how the hybrid and non-equilibrium nature can be exploited to design desirable properties, such as high critical temperatures. In particular, in case of the new light-matter hybrids, the goal is to provide realistic scenarios for, and also experimentally demonstrate, a room temperature BEC."
"Quantum coherent phenomena, especially marcoscopic quantum coherence, are among the most striking predictions of quantum mechanics. They have lead to remarkable applications such as lasers and modern optical technologies, and in the future, breakthroughs such as quantum information processing are envisioned. Macroscopic quantum coherence is manifested in Bose-Einstein condensation (BEC), superfluidity, and superconductivity, which have been observed in a variety of systems and continue to be at the front line of scientific research. Here my objective is to extend the realm of Bose-Einstein condensation into new conceptual and practical directions. I focus on the role of a hybrid character of the object that condenses and on the role of non-equilibrium in the BEC phenomenon. The work is mostly theoretical but has also an experimental part. I study two new types of hybrids, fundamentally different from each other. First, I consider pairing and superfluidity in a mixed geometry. Experimental realization of mixed geometries is becoming feasible in ultracold gases. Second, I explore the possibility of finding novel hybrids of light and matter excitations that may display condensation. By combining insight from these two cases, my goal is to understand how the hybrid and non-equilibrium nature can be exploited to design desirable properties, such as high critical temperatures. In particular, in case of the new light-matter hybrids, the goal is to provide realistic scenarios for, and also experimentally demonstrate, a room temperature BEC."
Project acronym COLORTTH
Project The Higgs: A colored View from the Top at ATLAS
Researcher (PI) Reinhild Fatima Yvonne Peters
Host Institution (HI) THE UNIVERSITY OF MANCHESTER
Summary "With the ground-breaking discovery of a new, Higgs-like boson on July 4th, 2012, by the CMS and ATLAS collaborations at CERN, a new era of particle physics has begun. The discovery is the first step in answering an unsolved problem in particle physics, the question how fundamental bosons and fermions acquire their mass. One of the major goals in collider physics in the next few years will be the deeper insight into the nature of the new particle, its connection to the known fundamental particles and possible extensions beyond the standard model (SM) of particle physics. My project aims at a particular interesting field to study, the relation of the new particle with the heaviest known elementary particle, the top quark. I aim to develop new, innovative techniques and beyond state-of-the-art methods to extract the Yukawa coupling between the top quark and the Higgs boson, which is expected to be of the order of one - much higher than that of any other quark. I will analyse the only process where the top-Higgs Yukawa coupling can be measured, in associated production of top quark pairs and a Higgs boson. The Higgs boson mainly decays into a pair of b-quarks. This is one of the most challenging channels at the LHC, as huge background processes from gluon splitting contribute. In particular, I will develop and study color flow variables, which provide a unique, powerful technique to distinguish color singlet Higgs bosons from the main background, color octet gluons. The ultimate goal of the project is the first measurement of the top-Higgs Yukawa coupling and its confrontation with SM and beyond SM Higgs boson models, resulting in an unprecedented insight into the fundamental laws of nature. The LHC will soon reach a new energy frontier of 13 TeV starting in 2014. This new environment will provide never seen opportunities to study hints of new physics and precisely measure properties of the newly found particle. This sets the stage for the project."
"With the ground-breaking discovery of a new, Higgs-like boson on July 4th, 2012, by the CMS and ATLAS collaborations at CERN, a new era of particle physics has begun. The discovery is the first step in answering an unsolved problem in particle physics, the question how fundamental bosons and fermions acquire their mass. One of the major goals in collider physics in the next few years will be the deeper insight into the nature of the new particle, its connection to the known fundamental particles and possible extensions beyond the standard model (SM) of particle physics. My project aims at a particular interesting field to study, the relation of the new particle with the heaviest known elementary particle, the top quark. I aim to develop new, innovative techniques and beyond state-of-the-art methods to extract the Yukawa coupling between the top quark and the Higgs boson, which is expected to be of the order of one - much higher than that of any other quark. I will analyse the only process where the top-Higgs Yukawa coupling can be measured, in associated production of top quark pairs and a Higgs boson. The Higgs boson mainly decays into a pair of b-quarks. This is one of the most challenging channels at the LHC, as huge background processes from gluon splitting contribute. In particular, I will develop and study color flow variables, which provide a unique, powerful technique to distinguish color singlet Higgs bosons from the main background, color octet gluons. The ultimate goal of the project is the first measurement of the top-Higgs Yukawa coupling and its confrontation with SM and beyond SM Higgs boson models, resulting in an unprecedented insight into the fundamental laws of nature. The LHC will soon reach a new energy frontier of 13 TeV starting in 2014. This new environment will provide never seen opportunities to study hints of new physics and precisely measure properties of the newly found particle. This sets the stage for the project."
Project acronym CRYSBEAM
Project Crystal channeling to extract a high energy hadron beam from an accelerator
Researcher (PI) Gianluca Cavoto
Summary A new generation of parasitic beam extraction of high energy particles from an accelerator is proposed in CRYSBEAM. Instead of massive magnetic kickers, bent thin crystals trapping particles within the crystal lattice planes are used. This type of beam manipulation opens new fields of investigation of fundamental interactions between particles and of coherent interactions between particles and matter. An experiment in connection to Ultra High Energy Cosmic Rays study in Earth's high atmosphere can be conducted. Several TeV energy protons or ions are deflected towards a chosen target by the bent lattice planes only when the lattice planes are parallel to the incoming particles direction. The three key ingredients of CRYSBEAM are: - a goniometer based on piezoelectric devices that orients a bent finely-polished low-miscut silicon crystal with a high resolution and repeatability, monitoring its position with synthetic diamond sensors. Novel procedures in crystal manufacturing & testing and cutting-edge mechanical solutions for motion technology in vacuum are developed; - a silica screen that measures the deflected particles via Cherenkov radiation emission in micrometric optical waveguides. These are obtained with an ultra-short laser micro-machining technique as for photonic devices used in quantum optics and quantum computing. The screen is a direct beam-imaging detector for a high radiation dose environment; - a smart absorber, which simulates the Earth's atmosphere, where particles are smashed and secondary showers are initiated. This sets the path to measure hadronic cross sections at an energy relevant for cosmic rays investigation. The R&D for the various components of such a system are carried out within this project and direct tests at CERN Super Proton Synchrotron to be performed prior to the final installation in the Large Hadron Collider at CERN are proposed. A new concept of particle accelerator operations will be finally set in place.
A new generation of parasitic beam extraction of high energy particles from an accelerator is proposed in CRYSBEAM. Instead of massive magnetic kickers, bent thin crystals trapping particles within the crystal lattice planes are used. This type of beam manipulation opens new fields of investigation of fundamental interactions between particles and of coherent interactions between particles and matter. An experiment in connection to Ultra High Energy Cosmic Rays study in Earth's high atmosphere can be conducted. Several TeV energy protons or ions are deflected towards a chosen target by the bent lattice planes only when the lattice planes are parallel to the incoming particles direction. The three key ingredients of CRYSBEAM are: - a goniometer based on piezoelectric devices that orients a bent finely-polished low-miscut silicon crystal with a high resolution and repeatability, monitoring its position with synthetic diamond sensors. Novel procedures in crystal manufacturing & testing and cutting-edge mechanical solutions for motion technology in vacuum are developed; - a silica screen that measures the deflected particles via Cherenkov radiation emission in micrometric optical waveguides. These are obtained with an ultra-short laser micro-machining technique as for photonic devices used in quantum optics and quantum computing. The screen is a direct beam-imaging detector for a high radiation dose environment; - a smart absorber, which simulates the Earth's atmosphere, where particles are smashed and secondary showers are initiated. This sets the path to measure hadronic cross sections at an energy relevant for cosmic rays investigation. The R&D for the various components of such a system are carried out within this project and direct tests at CERN Super Proton Synchrotron to be performed prior to the final installation in the Large Hadron Collider at CERN are proposed. A new concept of particle accelerator operations will be finally set in place.
Project acronym EXQFT
Project Exact Results in Quantum Field Theory
Researcher (PI) Zohar Komargodski
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Summary Quantum field theory (QFT) is a unified conceptual and mathematical framework that encompasses a veritable cornucopia of physical phenomena, including phase transitions, condensed matter systems, elementary particle physics, and (via the holographic principle) quantum gravity. QFT has become the standard language of modern theoretical physics. Despite the fact that QFT is omnipresent in physics, we have virtually no tools to analyze from first principles many of the interesting systems that appear in nature. (For instance, Quantum Chromodynamics, non-Fermi liquids, and even boiling water.) Our main goal in this proposal is to develop new tools that would allow us to make progress on this fundamental problem. To this end, we will employ two strategies. First, we propose to study in detail systems that possess extra symmetries (and are hence simpler). For example, critical systems often admit the group of conformal transformations. Another example is given by theories with Bose-Fermi degeneracy (supersymmetric theories). We will explain how we think significant progress can be achieved in this area. Advances here will allow us to wield more analytic control over relatively simple QFTs and extract physical information from these models. Such information can be useful in many areas of physics and lead to new connections with mathematics. Second, we will study general properties of renormalization group flows. Renormalization group flows govern the dynamics of QFT and understanding their properties may lead to substantial developments. Very recent progress along these lines has already led to surprising new results about QFT and may have direct applications in several areas of physics. Much more can be achieved. These two strategies are complementary and interwoven.
Quantum field theory (QFT) is a unified conceptual and mathematical framework that encompasses a veritable cornucopia of physical phenomena, including phase transitions, condensed matter systems, elementary particle physics, and (via the holographic principle) quantum gravity. QFT has become the standard language of modern theoretical physics. Despite the fact that QFT is omnipresent in physics, we have virtually no tools to analyze from first principles many of the interesting systems that appear in nature. (For instance, Quantum Chromodynamics, non-Fermi liquids, and even boiling water.) Our main goal in this proposal is to develop new tools that would allow us to make progress on this fundamental problem. To this end, we will employ two strategies. First, we propose to study in detail systems that possess extra symmetries (and are hence simpler). For example, critical systems often admit the group of conformal transformations. Another example is given by theories with Bose-Fermi degeneracy (supersymmetric theories). We will explain how we think significant progress can be achieved in this area. Advances here will allow us to wield more analytic control over relatively simple QFTs and extract physical information from these models. Such information can be useful in many areas of physics and lead to new connections with mathematics. Second, we will study general properties of renormalization group flows. Renormalization group flows govern the dynamics of QFT and understanding their properties may lead to substantial developments. Very recent progress along these lines has already led to surprising new results about QFT and may have direct applications in several areas of physics. Much more can be achieved. These two strategies are complementary and interwoven.