The Semiclassical Limit of the Two Dimensional Quantum Yang-Mills Model

TL;DR

This paper connects the semiclassical limit of 2D quantum Yang-Mills theory to the symplectic volume of flat connection moduli spaces, providing an alternative proof of recent results by Witten and Forman.

Contribution

It offers a new proof linking quantum Yang-Mills semiclassical limits to geometric structures on moduli spaces, using explicit symplectic form expressions.

Findings

Semiclassical limit relates to symplectic volume of moduli space

Provides an independent proof of Witten and Forman's results

Uses explicit symplectic form expression

Abstract

We relate the semiclassical limit of the quantum Yang-Mills partition function on a compact oriented surface to the symplectic volume of the moduli space of flat connections, by using an explicit expression for the symplectic form. This gives an independent proof of some recent results of Witten and Forman.