One-Loop Free Energy of the Four-Dimensional Compact QED in the Confining Phase

Details One-Loop Free Energy of the Four-Dimensional Compact QED in the Confining Phase One-Loop Free Energy of the Four-Dimensional Compact QED in the Confining Phase

1997-12-11

arxiv.org/abs/hep-th/9712114v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTeX, no figures

Scientific paper

The one-loop free energy of the four-dimensional compact QED, which is known to be equivalent to the vector Sine-Gordon model, is calculated in the strong coupling regime. In the case, when the norm of the strength tensor of the saddle-point value of the corresponding Sine-Gordon model is much larger than the typical inverse area of a loop in the gas of the monopole rings, the obtained free energy decays exponentially versus this norm. In the opposite case, when the dominant configuration of the Sine-Gordon model is identically zero, the resulting free energy decays with the growth of loops as an exponent of the inverse square of their typical area.

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