Deconfinement transition in SU( N ) theories from perturbation theory

• DOI: 10.1016/j.physletb.2015.01.006
• Publication Date: 2015-01-09T14:48:20Z
• Authors: U. Reinosa; J. Serreau; M. Tissier; N. Wschebor
• Keywords: Deconfinement; Lattice gauge theory; Lattice (music)

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. compute corresponding one-loop effective potential temporal background gluon field at finite temperature. At this order is simply related to Polyakov loop, parameter deconfinement transition. Our perturbative calculation correctly describes quark confining phase low temperature and transition second $N=2$ weakly first $N=3$. estimates temperatures are in qualitative agreement with values from lattice simulations or other continuum approaches. Finally, we discuss mass relation Gribov ambiguities gauge.