Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension

Details Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension

2011-08-23

arxiv.org/abs/1108.4643v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures

Scientific paper

Exact phase structure of the neutral Coulomb gas has been mapped out by the functional renormalization group study of the equivalent sine-Gordon field theory in arbitrary dimension. The high temperature fixed point is obtained and it is shown that the Coulomb gas has a single phase for d>2. Renormalization group equations of the 3-dimensional sine-Gordon model are compared to those of the vortex-loop gas i.e. the gas of topological defects of the 3-dimensional isotropic XY spin model which demonstrates that the two models belong to different universality classes.

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