118315040
Epsilon Expansion for Infrared Yang-Mills theory in Landau Gauge
The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and four space-time dimensions and is hence expected to be physically realized, in agreement with the results of recent lattice calculations.
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.
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.
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.
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.
209829221
GENERALIZED GELL-MANN–LOW THEOREM APPLIED TO A SCALAR MODEL
119108691
Combining neutrino oscillation experiments with the Feldman–Cousins method
In this paper we describe how two or more experimental results can be combined within the procedure of Feldman and Cousins, to provide combined confidence limits on the physical parameters of interest. We demonstrate the technique by combining the recent electron neutrino appearance results from T2K and MINOS. Our best fit point is sin2 2θ13 = 0.08 (0.11) and δ = 1.1 (2.0)π; in addition we exclude sin2 2θ13 = 0 at 2.7σ (2.8σ) for the normal (inverted) neutrino mass hierarchy.
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.
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.
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.
14130059
Long baseline neutrino oscillation review
This article will summarise the status of current and future long baseline neutrino oscillation experiments.