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

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

2000-05-26

arxiv.org/abs/hep-th/0005252v2

Phys.Rev. D63 (2001) 025013

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.63.025013

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 $d\geq 4$ 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.

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