Absence of the effects of vortices in the gauge glass

Toshiyuki Hamasaki, Hidetoshi Nishimori

Research output: Contribution to journalConference articlepeer-review


We calculate several correlation functions and distribution functions of dynamical variables for the gauge glass and the Villain model using the spin wave approximation and the gauge transformation. The results show that the spin wave approximation gives the exact solutions on the Nishimori line in the phase diagram. This implies that vortices play no role in the thermodynamic behavior of the system as long as some correlation and distribution functions are concerned. These results apply to any dimensions including the two-dimensional case.

Original languageEnglish
Pages (from-to)114-123
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
Publication statusPublished - 2003 Apr 1
Externally publishedYes
EventStatphys - Taiwan - 2002: Lattice Models and Complex Systems - Taipei and Taichung, Taiwan, Province of China
Duration: 2002 May 262002 Jun 1


  • Gauge transformation
  • Nishimori line
  • Periodicity

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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