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Two dimensional gauge theories revisited (1992)
| Venue: | J. Geom. Phys |
| Citations: | 200 - 3 self |
BibTeX
@ARTICLE{Witten92twodimensional,
author = {Edward Witten and Olden Lane},
title = {Two dimensional gauge theories revisited},
journal = {J. Geom. Phys},
year = {1992},
pages = {303}
}
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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. This paper will be devoted to a renewed study of two dimensional Yang-Mills theory without matter, a system which can be easily solved [1] and has been extensively studied [2–10]. Yet we will see that there is still much to say about this supposedly “trivial ” system. To state our result in a nutshell, we will explain (in
Keyphrases
dimensional gauge theory dimensional quantum yang-mills theory gauge group su intersection pairing non-abelian version trivial system functional integral flat connection duistermaat-heckman integration formula dimensional surface modulus space several method latter expression general expression dimensional yang-mills theory
