Ultraviolet Properties of the Self-Dual Yang-Mills Theory

TL;DR

This paper analyzes the ultraviolet divergences in the self-dual Yang-Mills theory, revealing that the instanton measure matches the one-loop result in standard Yang-Mills theory, across different topological sectors.

Contribution

It provides a detailed computation of ultraviolet divergences in the self-dual Yang-Mills theory, highlighting the equivalence of instanton measures with standard Yang-Mills results.

Findings

Instanton measure matches one-loop standard Yang-Mills result

Ultraviolet divergences computed in both trivial and non-trivial sectors

Self-dual Yang-Mills theory exhibits consistent ultraviolet behavior

Abstract

We compute the ultraviolet divergences in the self-dual Yang-Mills theory, both in the purely perturbative (zero instanton charge) and topologically non-trivial sectors. It is shown in particular that the instanton measure is precisely the same as the one-loop result in the standard Yang-Mills theory.