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Article Dans Une Revue Physical Review D Année : 2015

Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study

Résumé

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt gauge, where the gluon mass term is related to the existence of Gribov ambiguities. We have shown that a one-loop calculation of the background field effective potential describes well the phase structure of the SU(2) and SU(3) theories. Here, we present the calculation of the next-to-leading-order contribution in perturbation theory for the SU(2) case. In particular, we compute the background field effective potential at two-loop order and the corresponding Polyakov loop, a gauge invariant order parameter of the transition, at one-loop order. We show that the two-loop correction brings the critical temperature closer to its actual value as compared to the previous one-loop result. We also compute the thermodynamic pressure as a function of the temperature and show that two-loop contributions play an important role in the vicinity of the phase transition.

Dates et versions

hal-02373297 , version 1 (20-11-2019)

Identifiants

Citer

U. Reinosa, J. Serreau, M. Tissier, N. Wschebor. Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study. Physical Review D, 2015, 91 (4), ⟨10.1103/PhysRevD.91.045035⟩. ⟨hal-02373297⟩
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