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arXiv · hep-th/0211104

Variational Analysis of Deconfinement in Compact U(1) Gauge Theory

B. M. Gripaios
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Abstract

A variational method is used to analyse compact U(1) gauge theory in 2+1-dimensions at finite temperature, T, weak coupling, g and where the fundamental magnetic monopoles have magnetic charge 2πn/g. The theory undergoes a critical transition from a confining phase at temperatures below T_c=2g^2/n^2πto a deconfined phase at temperatures above T_c. The free energy and all its derivatives are continuous at T_c, indicative of the BKT phase transition. The relevant gauge-invariant correlation functions decay exponentially at large distances. The spatial Wilson loop obeys the area law at all finite temperatures, even for the non-compact theory. The case n=2 corresponds to the compact U(1) theory considered as a low energy effective theory for the spontaneously broken Georgi--Glashow model. The results in this case agree with those derived previously for compact U(1) in this model using dimensional reduction of the Lagrangian.

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B. M. Gripaios. 2002-11-12. Variational Analysis of Deconfinement in Compact U(1) Gauge Theory. https://doi.org/10.1103/physrevd.67.025023

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