Phase structure and compactness

I. Nándori, S. Nagy, K. Sailer, A. Trombettoni

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 multifrequency 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.

Original languageEnglish
Article number069
JournalJournal of High Energy Physics
Volume2010
Issue number9
DOIs
Publication statusPublished - 2010

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void ratio
energy
scaling
critical frequencies
scaling laws

Keywords

  • Field theories in lower dimensions
  • Renormalization group

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Phase structure and compactness. / Nándori, I.; Nagy, S.; Sailer, K.; Trombettoni, A.

In: Journal of High Energy Physics, Vol. 2010, No. 9, 069, 2010.

Research output: Contribution to journalArticle

Nándori, I. ; Nagy, S. ; Sailer, K. ; Trombettoni, A. / Phase structure and compactness. In: Journal of High Energy Physics. 2010 ; Vol. 2010, No. 9.
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