Chiral anomaly and nucleon properties in the Nambu--Jona-Lasinio model with vector mesons

Abstract

We consider the extended SU(3) Nambu and Jona-Lasinio model with explicit vector couplings in the presence of external fields. We study the chiral anomaly in this model and its implications on the properties of the nucleon described as a chiral soliton of three valence quarks bounded in mesonic background fields. For the model to reproduce the QCD anomaly it is necessary to subtract suitable local and polynomial counterterms in the external and dynamical vector and axial-vector fields. We compute the counterterms explicitly in a vector gauge invariant regularization, and obtain modifications to the total effective action and vector and axial currents. We study the numerical influence of those counterterms in the two flavour version of model with dynamical $\sigma ,\pi ,\rho ,A$ and $\omega$ mesons. We find that, for time independent hedgehog configurations, the numerical effects in the nucleon mass, the isoscalar nucleon radius and the axial coupling constant are negligibly small.

Plain TeX, 27 pages. (revised version with minor corrections).

References in corpus (7)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Massive Spin-1 Field Chiral Lagrangian from an Extended Nambu-Jona-Lasinio Model of QCD
• Strong and Radiative Meson Decays in a Generalized Nambu--Jona-Lasinio Model
• Two- and Three-Point Functions in the Extended NJL Model
• Anomalies, VMD and the Enjl Model
• The Chiral Soliton of the Nambu Jona-Lasinio Model with Vector and Axial Vector Mesons
• On the analytic properties of chiral solitons in the presence of the $\omega$--meson

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• Pion transition form factor in the Regge approach and incomplete vector-meson dominance
• The Energy Momentum Tensor of Chiral Quark Models at Low Energies
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Temperature dependence of the anomalous effective action of fermions in two and four dimensions
• The invariant factor of the chiral determinant
• Chiral Soliton Models and Nucleon Structure Functions
• The impossible regularization of the Nambu Jona-Lasinio model with vector interactions
• The Extended Nambu-Jona-Lasinio Model and Hidden Local Symmetry of Low Energy QCD
• Hadron Structure Functions in a Chiral Quark Model
• On the uniqueness of the expected stress-energy tensor in renormalizable field theories