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

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-Takah...

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Veröffentlicht in:Progress of theoretical and experimental physics 2007-12, Vol.118 (6), p.1115-1125
Hauptverfasser: Higashi, Takeshi, Itou, Etsuko, Kugo, Taichiro
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.118.1115