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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages; Note added, references added

Scientific paper

10.1143/PTP.118.1115

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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