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Phase structure and compactness

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Abstract

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 β 2 = 8π 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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  1. Institute of Nuclear Research, P.O. Box 51, H-4001, Debrecen, Hungary

    I. Nándori

  2. Department of Theoretical Physics, University of Debrecen, Debrecen, Hungary

    S. Nagy & K. Sailer

  3. SISSA, via Bonomea 265, I-34136, Trieste, Italy

    A. Trombettoni

  4. INFN, Sezione di Trieste, Via Valerio, 2, I-34127, Trieste, Italy

    A. Trombettoni

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Nándori, I., Nagy, S., Sailer, K. et al. Phase structure and compactness. J. High Energ. Phys. 2010, 69 (2010). https://doi.org/10.1007/JHEP09(2010)069

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