ar X iv : h ep - t h / 97 12 11 4 v 1 1 1 D ec 1 99 7 One - Loop Free Energy of the Four - Dimensional Compact QED in the Confining Phase
نویسنده
چکیده
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 vs. 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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