Localization for the norm-square of the moment map and the two-dimensional Yang-Mills integral
Symplectic Geometry
2007-05-23 v3
Abstract
The first seven sections of the paper contain a version of localization for the norm-square of the moment map in equivariant de Rham theory, similar to that proved by P.-E. Paradan. The last section contains a definition and computation of the Yang-Mills path integral in two dimensions. The idea is to reverse the logic in Witten's paper and take the localization formula as the definition of the path integral. Using a symmetry argument we show that the path integral is given by the Migdal formula.
Keywords
Cite
@article{arxiv.math/0404413,
title = {Localization for the norm-square of the moment map and the two-dimensional Yang-Mills integral},
author = {Chris T. Woodward},
journal= {arXiv preprint arXiv:math/0404413},
year = {2007}
}
Comments
33 pages. Corrections and a few paragraphs re-written. To appear in Jour. Sympl. Geom