Axial-vector coupling and chiral anomaly in the spectral quark model

Journal Article · Wed Apr 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.085002· OSTI ID:21308339

Ferreira, L C; Mota, A L ^[1]

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1. Departamento de Ciencias Naturais, Universidade Federal de Sao Joao del Rei, C.P. 110, CEP 36301-160, Sao Joao del Rei (Brazil)

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 nonlocal form of the axial vertex compatible with a nonvanishing 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.

• OSTI ID: 21308339
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL VECTOR MESONS
CHIRALITY
COUPLING
MASS
QUARK MODEL
SPECTRA