125415220
Hamiltonian approach to Yang-Mills theory in Coulomb gauge
SUMMARY AND CONCLUSIONS In my talk I have discussed recent results obtained in the Hamilton approach to Yang-Mills theory in Coulomb gauge. Using ghost dominance, an infrared analysis of theSchwinger-Dyson equations has revealed both quark and gluon conﬁnement. The gluonenergy is infrared diverging implying the absence of asymptotic gluon states from thephysical spectrum, and the static Coulomb potential is linearly rising. These results areconﬁrmed by a full numerical solution of the Schwinger-Dyson equations. While theghost-gluon vertex remains basically unrenormalized and in particular becomes the bareone when the ghost momentum vanishes, the three-gluon vertex is strongly infrareddivergent. As a ﬁrst non-trivial test of the variationally determined vacuum wave func-tional, we have calculated ’t Hooft’s disorder parameter choosing the renormalizationconstants of the gap equation in such a way that the wave functional reproduces in theinfrared the strong coupling limit. Then the ’t Hooft loop shows indeed a perimeter law,indicating a conﬁning vacuum.
122569817
Fermion damping and reaction rates in hot gauge theories
We examine the relation between the damping rate of a fermionic mode propagating in a hot QED or QCD plasma, and the corresponding reaction rate. We show that these two quantities should be equal provided the reaction rate is calculated using properly normalized wave functions for the mode in the medium. We use finite temperature cutting rules to identify the different terms in the expression for the damping rate with physical processes in the plasma.
209829221
GENERALIZED GELL-MANN–LOW THEOREM APPLIED TO A SCALAR MODEL
118885765
Functional approaches to infrared Yang-Mills theory in the Coulomb gauge
We present the current status of ongoing efforts to use functional methods, Dyson-Schwinger equations and functional renormalization group equations, for the description of the infrared regime of nonabelian (pure) gauge theories. In particular, we present a new determination of the color-Coulomb potential with the help of the functional renormalization group that results in an almost linearly rising potential between static color charges at large spatial distances.
119193511
Hamiltonian Dyson‐Schwinger and FRG Flow Equations of Yang‐Mills Theory in Coulomb Gauge
A new functional renormalization group equation for Hamiltonian Yang‐Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost dominance. The results are compared to those obtained in the variational approach.
121014950
U(1) gauge theory on a spatial lattice: duality, photons, and shadow states
A bstractWe present a Hamiltonian approach to compact and noncompact (pure) U(1) gauge theory on a regular cubic spatial lattice in (2 + 1) and (3 + 1) dimensions. The diagonalization of the kinetic part of the Hamiltonian via Fourier transformation of the wave functionals induces an electromagnetic duality transformation. The dual variables are naturally associated with the dual lattice. The notation we borrow from algebraic topology suggests a straightforward generalization to irregular spatial lattices. We determine the states of the theory in the different representations in the strong- and weak-coupling limits, and compare the vacuum and the coherent states in the weak-coupling limit with the (shadow) states obtained some years ago by Varadarajan and Ashtekar and Lewandowski in an ultraviolet-regularized version of loop-quantized continuum U(1) gauge theory. Possible implications for the formulation of a nonperturbative renormalization group in loop-quantized theories and the description of confinement in non-abelian gauge theories are discussed.
14130059
Long baseline neutrino oscillation review
This article will summarise the status of current and future long baseline neutrino oscillation experiments.
121374094
T2K: A LONG-BASELINE EXPERIMENT TO STUDY NEUTRINOS
T2K is the first of a new generation of long baseline neutrino oscillation experiments that will measure neutrino oscillations parameters. The experiment uses the J-PARC accelerator complex on the east cost of Japan to sent a neutrino beam to the Kamioka mine, located 295 km to the west. It consists of a dedicated beam-line, a near detector complex to characterize the beam and the well-known Super-Kamiokande detector to measure the oscillation signal. This paper describes the experimental setup, the results of the first measurement campaign as well as giving an outlook on the future potential of the experiment.
112402914
First results of the Trip-t based T2K front end electronics performance with GM-APD
The TRIP-t front end board (TFB) will read out Geiger-mode multi-pixel Avalanche Photo-Diodes (GM-APD) in several T2K detector systems. We report the first tests of the TFB electronics with GM-APD. Measurements of GM-APD charge spectra, energy and time resolution have been performed. Individual channel voltage trimming circuit functionality has also been tested. These results indicate very good performance of the TFB prototype with both 400 and 100 pixels GMAPD from Hamamatsu photonics.
122204341
New results from the MINOS experiment
MINOS is a long baseline neutrino oscillation experiment. Protons from the Fermilab main injector are used to generate an intense muon neutrino beam, which is directed at the Soudan underground laboratory in Northern Minnesota. The result from two years of running with a total exposure of 2.5 × 1020 protons on target from the NuMI beam is reported. We made a preliminary measurement by comparing the event rate and energy spectra of charge current muon neutrino interactions in the two detectors, which are 1 and 735 km from the neutrino production target. The data is consistent with vμ to v oscillation in the so-called atmospheric parameter range with δm2 = (2.38+0.20-0.16) × 10-3 eV2 and sin22Θ = 1-0.08.
1135757
Status of the LBL oscillation experiments MINOS and OPERA
MINOS and OPERA will be the next generation long baseline neutrino experiments to measure neutrino oscillations as suggested by the Super-Kamiokande atmospheric neutrino results in a well controlled environment. Neutrinos produced by the Fermilab main injector will be measured by the two MINOS detectors. A near detector will be located at the Fermilab site to measure the neutrino beam composition at production, a far detector will measure it after oscillation may have modified the beam composition. OPERA will be located in the Grand Sasso underground laboratory and search for the appearance of tau neutrinos in a muon neutrino beam produced at the CERN SPS. By chance, the baseline is 735 km for both experiments.