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: [PHYS]Physics [physics]; High Energy Physics - Theory; Nuclear and High Energy Physics; Nuclear Theory; Physics; QC1-999; Deconfinement transition; High Energy Physics - Lattice (hep-lat); Yang–Mills theory; FOS: Physical sciences; 530; 01 natural sciences; [PHYS] Physics [physics]; Nuclear Theory (nucl-th); High Energy Physics - Phenomenology; Gribov ambiguities; High Energy Physics - Lattice; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Finite temperature QFT; 0103 physical sciences

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. We compute the corresponding one-loop effective potential for a temporal background gluon field at finite temperature. At this order the background field is simply related to the Polyakov loop, the order parameter of the deconfinement transition. Our perturbative calculation correctly describes a quark confining phase at low temperature and a phase transition of second order for $N=2$ and weakly first order for $N=3$. Our estimates for the transition temperatures are in qualitative agreement with values from lattice simulations or from other continuum approaches. Finally, we discuss the effective gluon mass parameter in relation to the Gribov ambiguities of the Landau-DeWitt gauge.<br/>10 pages, 3 figures<br/>