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arXiv · 1302.2903

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

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

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Daniel N. Blaschke, Harald Grosse, Jean-Christophe Wallet. 2013-02-12. Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. https://doi.org/10.1007/jhep06(2013)038

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