On quantum gauge theories in two dimensions

Edward Witten

doi:10.1007/BF02100009

On quantum gauge theories in two dimensions

Edward Witten

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	153-209
Number of pages	57
Journal	Communications In Mathematical Physics
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/BF02100009
State	Published - Oct 1991
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02100009

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title = "On quantum gauge theories in two dimensions",

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.",

author = "Edward Witten",

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AB - 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.

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On quantum gauge theories in two dimensions

Abstract

All Science Journal Classification (ASJC) codes

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