Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences

TL;DR

This paper investigates one-loop infrared divergences in non-commutative gauge theories, derives Slavnov-Taylor identities at tree level, and verifies their consistency with divergent one-loop results, including a discussion of two-dimensional cases.

Contribution

It provides a detailed analysis of IR divergences in non-commutative gauge theories and derives Slavnov-Taylor identities, ensuring their consistency with loop-level divergences.

Findings

IR divergences analyzed in non-commutative gauge theories

Slavnov-Taylor identities derived and verified at one-loop level

Discussion of special cases in two dimensions

Abstract

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor identities relating the two, three and four point functions, and verify their consistency with the divergent one-loop level results. We also discuss the special case of two dimensions.