Gauge covariant approach to the electroweak interactions of mesons in the Nambu-Jona-Lasinio model with spin-1 states

Abstract

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi -a_1$ mixing in the presence of electroweak forces. This allows for manifestly gauge covariant description of both the non-anomalous and anomalous parts of the effective Lagrangian. It is shown that in the non-anomalous sector the theory is equivalent to the standard non-covariant approach.

arXiv comment6 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1810.09632

References in corpus (6)

• Effective chiral Lagrangians for spin-1 mesons
• Effective Chiral Meson Lagrangian For The Extended Nambu-Jona-Lasinio Model
• A general framework to diagonalize vector--scalar and axial-vector--pseudoscalar transitions in the effective meson Lagrangian
• Implications of a New Effective Chiral Meson Lagrangian
• Electromagnetic interactions of mesons induced by the axial-vector -- pseudoscalar mixings
• Hadronic electroweak current and $\pi -a_1$ mixing

Cited by in corpus (2)

• Low-energy theorem for $\gamma \to 3\pi$: surface terms against $\pi a_1$-mixing
• Account for axial vector mesons in the $\eta \to {\pi }^{+}{\pi }^{-}\gamma$ and ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ decays