Effective action for the order parameter of the deconfinement transition of Yang-Mills theories

Abstract

The effective action for the Polyakov loop serving as an order parameter for deconfinement is obtained in one-loop approximation to second order in a derivative expansion. The calculation is performed in $d\ge 4$ dimensions, mostly referring to the gauge group SU(2). The resulting effective action is only capable of describing a deconfinement phase transition for $d>d_{\text{cr}}\simeq 7.42$. Since, particularly in $d=4$, the system is strongly governed by infrared effects, it is demonstrated that an additional infrared scale such as an effective gluon mass can change the physical properties of the system drastically, leading to a model with a deconfinement phase transition.

23 pages, 4 figures, minor improvements, version to appear in PRD

References in corpus (4)

• QED effective action at finite temperature
• Thermally induced photon splitting
• Finite Temperature Quark Confinement
• Effective potential for the order parameter of the SU(2) Yang-Mills deconfinement transition

Cited by in corpus (12)

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• Background Effective Action with Nonlinear Massive Gauge Fixing
• Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit
• Debye Screening Mass from effective Potentials in Lattice Gauge Theory
• Rigorous three-dimensional relativistic equation for quark-antiquark bound states at finite temperature derived from the thermal QCD formulated in the coherent-state representation