Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models

P. di Francesco, H. Saleur, J. B. Zuber

Research output: Contribution to journalArticle

Abstract

Partition functions of critical 2D models on a torus can be derived from their microscopic formulation and their free field representation in the continuum limit. This is worked out explicitly for the O(n) and Q-state Potts model. For n or Q integer we recover results obtained from conformal invariance, but our procedure also extends to nonintegral values. In the latter case the expansion on characters of the Virasoro algebra involves real coefficients of either sign. The operator content of both models is discussed in detail.

Original languageEnglish (US)
Pages (from-to)57-79
Number of pages23
JournalJournal of Statistical Physics
Volume49
Issue number1-2
DOIs
StatePublished - Oct 1 1987
Externally publishedYes

Keywords

  • Coulomb gas
  • conformal invariance
  • partition functions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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