Two dimensional gauge theories revisited

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Two dimensional quantum Yang-Mills theory is reexamined using a non-abelian version of the Duistermaat-Heckman integration formula to carry out the functional integral. This makes it possible to explain properties of the theory that are inaccessible to standard methods and to obtain general expressions for intersection pairings on moduli spaces of flat connections on a two dimensional surface. The latter expressions agree, for gauge group SU (2), with formulas obtained recently by several methods.

Original languageEnglish (US)
Pages (from-to)303-368
Number of pages66
JournalJournal of Geometry and Physics
Issue number4
StatePublished - Oct 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


  • Two dimensional field theories
  • quantum gauge theories


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