Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model

Details Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model

2008-12-18

arxiv.org/abs/0812.3570v2

Phys.Rev.D79:085002,2009

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure

Scientific paper

10.1103/PhysRevD.79.085002

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

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