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

2008/12/31 by Luciana C. Ferreira, L. C. Ferreira, A. L. Mota · 3 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Chiral anomaly #Combinatorics #Context (archaeology) #Coupling (piping) #Graph #Limit (mathematics) #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark model #Vertex (graph theory) #hep-th

paper · pdf · doi:10.1103/physrevd.79.085002

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(8) (American Physical Society) · 8 pages, 1 figure

arxiv created 2009/03/26 · openalex publication_date 2009/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• A PCAC puzzle: π0→γγ in the σ-model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Chiral phase transition at finite temperature in the linear sigma model
• Extended QED with CPT violation: Clarifying some controversies
• The axial vector current in beta decay
• Ward Identities and Chiral Anomaly in the Luttinger Liquid
• Linear sigma model at finite density in the1/Nexpansion to next-to-leading order
• Spectral quark model and low-energy hadron phenomenology
• The role of hidden ambiguities in the linear sigma model with fermions
• Axial-Vector Vertex in Spinor Electrodynamics
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II
• Nc-counting rules and the axial vector coupling constant of the constituent quark