Ward-Takahashi Identity for Yang-Mills Theory in the Exact Renormalization Group

We give a functional derivation of the Ward-Takahashi identity for Yang-Mills theory in the framework of the exact renormalization group. The identity realizes non-abelian gauge symmetry nontrivially despite the presence of a momentum cutoff. The cutoff deforms the gauge transformation by introducin...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2008-12, Vol.120 (6), p.1017-1028
Main Authors: Igarashi, Yuji, Itoh, Katsumi, Sonoda, Hidenori
Format: Article
Language:English
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Summary:We give a functional derivation of the Ward-Takahashi identity for Yang-Mills theory in the framework of the exact renormalization group. The identity realizes non-abelian gauge symmetry nontrivially despite the presence of a momentum cutoff. The cutoff deforms the gauge transformation by introducing composite operators. In our functional method, which is an extension of the method used in our previous work on QED, these composite operators are expressed in terms of the Wilson action that depends on both a UV cutoff and an IR cutoff.
ISSN:2050-3911
0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.120.1017