Two dimensional gauge theories revisited

Edward Witten

doi:10.1016/0393-0440(92)90034-X

Two dimensional gauge theories revisited

Edward Witten

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

451 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	303-368
Number of pages	66
Journal	Journal of Geometry and Physics
Volume	9
Issue number	4
DOIs	https://doi.org/10.1016/0393-0440(92)90034-X
State	Published - Oct 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Two dimensional field theories
quantum gauge theories

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10.1016/0393-0440(92)90034-X

Cite this

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abstract = "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.",

keywords = "Two dimensional field theories, quantum gauge theories",

author = "Edward Witten",

note = "Funding Information: Research supported in part by NSF Grant PHY91-06210.",

year = "1992",

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AB - 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.

KW - Two dimensional field theories

KW - quantum gauge theories

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ER -

Two dimensional gauge theories revisited

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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