Chiral symmetry, the 1/N expansion and the SU(N) thirring model

Edward Witten

Research output: Contribution to journalArticlepeer-review

281 Scopus citations

Abstract

In the two-dimensional SU(N) Thirring model, the 1/N expansion seems to predict spontaneous breaking of the continuous chiral symmetry. This is impossible in two-dimensions. Reasoning along the lines of Berezinski, Kosterlitz and Thouless for the two-dimensional XY model, we argue that, in fact, rather than showing long-range order, 〈ψψ(x) ψψ(0)〉 vanishes in this model as |x|-1/N at large |x|. The 1/N expansion is, in fact, a rather good guide to the properties of this model.

Original languageEnglish (US)
Pages (from-to)110-118
Number of pages9
JournalNuclear Physics, Section B
Volume145
Issue number1
DOIs
StatePublished - Nov 27 1978
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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