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Ward–Takahashi identities for Abelian chiral gauge theories
https://doi.org/10.1142/S0217751X16500627Cited by:1 (Source: Crossref)
Abstract
By considering a general Abelian chiral gauge theory, we investigate the behavior of anomalous Ward–Takahashi (WT) identities concerning their prediction for the usual relationship between the vertex and two-point fermion functions. Using gauge anomaly vanishing results, we show that the usual (in the nonanomalous case) WT identity connecting the vertex and two-point fermion 1PI functions is modified for Abelian chiral gauge theories. The modification, however, implies a relation between fermion and charge renormalization constants that can be important in a future study of renormalization of such theories.
PACS: 11.15.-q, 11.15.Tk, 11.30.-j
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