English

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

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9712114,
  title  = {One-Loop Free Energy of the Four-Dimensional Compact QED in the Confining Phase},
  author = {D. V. Antonov},
  journal= {arXiv preprint arXiv:hep-th/9712114},
  year   = {2007}
}

Comments

4 pages, LaTeX, no figures