Possible third-order phase transition in the large-N lattice gauge theory

David J. Gross, Edward Witten

Research output: Contribution to journalArticlepeer-review

742 Scopus citations

Abstract

The large-N limit of the two-dimensional U(N) (Wilson) lattice gauge theory is explicitly evaluated for all fixed =g2N by steepest-descent methods. The dependence is discussed and a third-order phase transition, at =2, is discovered. The possible existence of such a weak- to strong-coupling third-order phase transition in the large-N four-dimensional lattice gauge theory is suggested, and its meaning and implications are discussed.

Original languageEnglish (US)
Pages (from-to)446-453
Number of pages8
JournalPhysical Review D
Volume21
Issue number2
DOIs
StatePublished - 1980
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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