Two dimensional Yang-Mills theory via stochastic differential equations
- 1 August 1989
- journal article
- Published by Elsevier BV in Annals of Physics
- Vol. 194 (1), 65-112
- https://doi.org/10.1016/0003-4916(89)90032-8
Abstract
The equation of parallel transport is given meaning in the quantized two dimensional Euclidean Yang-Mills theory by interpreting it as a stochastic differential equation in the complete axial gauge. The expectation of products of Wilson loops is evaluated using the stochastic differential calculus and a method of Bralic. Euclidean invariance of the theory is proven.Keywords
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