1302.2903 (Daniel N. Blaschke et al.)

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

Daniel N. Blaschke, Harald Grosse, Jean-Christophe Wallet

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 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.

View original: http://arxiv.org/abs/1302.2903