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Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof

Pietro Antonio Grassi
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Abstract

In this paper the stability and the renormalizability of Yang-Mills theory in the Background Field Gauge are studied. By means of Ward Identities of Background gauge invariance and Slavnov-Taylor Identities the stability of the classical model is proved and, in a regularization independent way, its renormalizability is verified. A prescription on how to build the counterterms is given and the possible anomalies which may appear for Ward Identities and for Slavnov-Taylor Identities are shown.

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Pietro Antonio Grassi. 1995-05-17. Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof. https://doi.org/10.1016/0550-3213(96)00017-x

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