Absence of radiative corrections in 4-dimensional topological Yang-Mills theories

TL;DR

This paper proves that four-dimensional topological Yang-Mills theories in (anti-)self-dual Landau gauges have no radiative corrections, meaning their Green functions are exactly determined at tree level, simplifying their quantum analysis.

Contribution

It demonstrates the absence of radiative corrections in these theories when quantized in specific gauges, a novel result in topological quantum field theory.

Findings

Green functions are tree-level exact with no quantum corrections.

The result applies specifically to (anti-)self-dual Landau gauges.

Simplifies the understanding of quantum properties of these theories.

Abstract

We prove that all connected n-point Green functions of four-dimensional topological Yang-Mills theories quantized in the (anti-)self-dual Landau gauges are tree-level exact, i.e. there are no radiative corrections in this gauge choice.