Anomalies in the ERG Approach

The antifield formalism adapted in the exact renormalization group is found to be useful for describing a system with some symmetry, especially the gauge symmetry. In the formalism, the vanishing of the quantum master operator implies the presence of a symmetry. The QM operator satisfies a simple al...

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Veröffentlicht in:Progress of theoretical and experimental physics 2011-03, Vol.125 (3), p.565-580
Hauptverfasser: Igarashi, Yuji, Itoh, Katsumi, Sato, Masanao, Sonoda, Hidenori
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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Zusammenfassung:The antifield formalism adapted in the exact renormalization group is found to be useful for describing a system with some symmetry, especially the gauge symmetry. In the formalism, the vanishing of the quantum master operator implies the presence of a symmetry. The QM operator satisfies a simple algebraic relation that will be shown to be related to the Wess-Zumino condition for anomalies. We also explain how an anomaly contributes to the QM operator.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.125.565