Affiliation:
1. Center of Theoretical Physics
2. University of Paris
3. Laboratory of Theoretical Physics of Condensed Matter
Abstract
We propose a novel approach to the confinement-deconfinement transition
in Yang-Mills theories in the context of gauge-fixed calculations. The method is based on a background-field generalisation of the Landau gauge (to which it reduces at vanishing temperature) with a given, center-symmetric background. This is to be contrasted with most implementations of background field methods in gauge theories, where one uses a variable, self-consistent background. Our proposal is a bona fide gauge fixing that can easily be implemented on the lattice and in continuum approaches. The resulting gauge-fixed action explicitly exhibits the center symmetry of the nonzero temperature theory that controls the confinement-deconfinement transition. We show that, in that gauge, the electric susceptibility diverges at a second order transition [e.g., in the SU(2) theory], so that the gluon propagator is a clear probe of the transition. We implement our proposal in the perturbative Curci-Ferrari model, known for its successful description of various infrared aspects of Yang-Mills theories,
including the confinement-deconfinement transition. Our one-loop
calculation confirms our general expectation for the susceptibility
while providing transition temperatures in excellent agreement with the
SU(2) and SU(3) lattice values. Finally, the Polyakov loops above the
transition show a more moderate rise, in contrast to previous
implementations of the Curci-Ferrari model using a self-consistent
background, and our SU(3) result agrees quite well with the lattice data
in the range [0,2T_c][0,2Tc].
Subject
General Physics and Astronomy
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献