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We studied the Adler-Bardeen-Bell-Jackiw anomaly in the context of a finitechiral quark model known as the Spectral Quark Model. Within this model, weobtain the general non-local form of the axial vertex compatible with a nonvanishing axial coupling, in the chiral limit. The triangle anomaly is computedand we show that the obtained dependence of the axial vertex with the spectralmass is necessary to ensure both finiteness and the correct violation of thechiral Ward-Takahashi identity.

Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model