On quantum gauge theories in two dimensions

Edward Witten

Research output: Contribution to journalArticlepeer-review

490 Scopus citations

Abstract

Two dimensional quantum Yang-Mills theory is studied from three points of view: (i) by standard physical methods; (ii) by relating it to the large k limit of three dimensional Chern-Simons theory and two dimensional conformal field theory; (iii) by relating its weak coupling limit to the theory of Reidemeister-Ray-Singer torsion. The results obtained from the three points of view agree and give formulas for the volumes of the moduli spaces of representations of fundamental groups of two dimensional surfaces.

Original languageEnglish (US)
Pages (from-to)153-209
Number of pages57
JournalCommunications In Mathematical Physics
Volume141
Issue number1
DOIs
StatePublished - Oct 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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