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arxiv: 0709.1522 · v2 · submitted 2007-09-11 · ✦ hep-th

The BV Master Equation for the Wilson Action in general Yang-Mills Gauge Theory

classification ✦ hep-th
keywords gaugeactiontheorywilsonequationgeneralmasteryang-mills
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The Wilson effective action for general Yang-Mills gauge theory is shown to satisfy the usual form of Batalin-Vilkovisky (BV) master equation, despite that a momentum cutoff apparently breaks the gauge invariance. In the case of Abelian gauge theory, in particular, it actually deduces the Ward-Takahashi identity for Wilson action recently derived by Sonoda.

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