Thermodynamics of the O(N)-invariant sigma-model in 2 + 1 dimensions

Baruch Rosenstein*, Brian J. Warr, S. H. Park

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


The O(N)-invariant non-linear σ-model in d = 2 + 1 is studied in the framework of the 1 N expansion. The model is non-renormalizable in the weak coupling expansion but becomes renormalizable in the 1 N expansion. We explicitly demonstrate how the constraint n2 = 1 exhibits itself on the quantum level. The phase structure and correlation functions are calculated at zero and finite temperature, and are compared with recent numerical simulations.

Original languageEnglish
Pages (from-to)435-456
Number of pages22
JournalNuclear Physics, Section B
Issue number3
StatePublished - 4 Jun 1990


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