Phase Structure and Compactness

Details Phase Structure and Compactness Phase Structure and Compactness

2010-07-29

arxiv.org/abs/1007.5182v2

JHEP 1009:069,2010

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures, minor changes, final version, accepted for publication in JHEP

Scientific paper

In order to study the influence of compactness on low-energy properties, we compare the phase structures of the compact and non-compact two-dimensional multi-frequency sine-Gordon models. It is shown that the high-energy scaling of the compact and non-compact models coincides, but their low-energy behaviors differ. The critical frequency $\beta^2 = 8\pi$ at which the sine-Gordon model undergoes a topological phase transition is found to be unaffected by the compactness of the field since it is determined by high-energy scaling laws. However, the compact two-frequency sine-Gordon model has first and second order phase transitions determined by the low-energy scaling: we show that these are absent in the non-compact model.

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