Deconfinement transition in SU( N ) theories from perturbation theory

[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
DOI: 10.1016/j.physletb.2015.01.006 Publication Date: 2015-01-09T14:48:20Z
ABSTRACT
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/>
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