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Phase structure and compactness
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DOI：10.1007/JHEP09(2010)069.png)
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Abstract
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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.
Keywords:
Field Theories in Lower Dimensions
Renormalization Group
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IF:
5.5
Papers:
4.0W
Citations:
13.7W
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