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We employ the method of differential regularization to calculate explicitly the one-loop effective action of a bosonized $U_L(3)\times U_R(3)$ extended Nambu--Jona-Lasinio model consisting of scalar, pseudoscalar, vector and axial vector…

High Energy Physics - Theory · Physics 2015-06-26 Yaw-Hwang Chen , Su-Long Nyeo , Yeou-Wei Yang

It is shown that the diagonalization of the axial-vector -- pseudoscalar transitions in the effective meson Lagrangian in presence of electromagnetic interactions leads to a deviation from the vector meson dominance picture which usually…

High Energy Physics - Phenomenology · Physics 2018-09-12 A. A. Osipov , M. M. Khalifa

The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike the case in earlier published papers, we obtain the $\pi\pi$ scattering amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , A. H. Blin , B. Hiller , Y. P. Ivanov , A. A. Osipov , Ulf-G. Meißner

We revisit the theoretical predictions for anomalous radiative decays of pseudoscalar and vector mesons. Our analysis is performed in the framework of the Nambu-Jona-Lasinio model, introducing adequate parameters to account for the…

High Energy Physics - Phenomenology · Physics 2009-01-07 L. Epele , H. Fanchiotti , D. Gomez Dumm , A. G. Grunfeld

We propose a phenomenological Lagrangian for the decay of the SU(3) nonets of the axial-vector mesons of $J^{PC}=1^{+-},1^{++}$ into a vector meson and a pseudoscalar constructed with tensor fields for the vector and axial-vector mesons.…

High Energy Physics - Phenomenology · Physics 2009-11-10 L. Roca , J. E. Palomar , E. Oset

We present a derivation of the low-energy effective meson Lagrangian of the extended Nambu -- Jona-Lasinio (ENJL) model. The case with linear realization of broken $SU(2)\times SU(2)$ chiral symmetry is considered. There are two crucial…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander A. Osipov , Brigitte Hiller

A simple explanation of the dynamic properties of vector mesons is given in the framework of extended Nambu - Jona-Lasinio quark model. New mass relations among the hadron vector resonances are derived. The results of this approach are in…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. V. Chizhov

We study the pseudoscalar, vector and axial current correlation functions in SU(2)-NJL model with scalar and vector couplings. The correlation functions are evaluated in leading order in number of colors $N_c$. As it is expected in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Chr. V. Christov , K. Goeke , M. Polyakov

Dynamical symmetry breaking and the formation of scalar condensates in the SU(2)XU(1) Nambu-Jona-Lasinio model with two coupling constants has been studied in the framework of the mean field approximation. The bosonization procedures of the…

Nuclear Theory · Physics 2010-12-17 S. I. Kruglov

We derive the the effective lagrangian that describes the interactions among vector, axial-vector mesons and pseudoscalars starting from the extended chiral quark model (ECQM). The results for the low-energy constants of this effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giancarlo D'Ambrosio , Domenec Espriu

The bosonization of a massless fermionic field coupled to both vector and axial-vector external sources is developed, following a path-integral approach. The resulting bosonized theory contains two antisymmetric tensor fields whose actions…

High Energy Physics - Theory · Physics 2009-10-30 C. D. Fosco , F. A. Schaposnik

The momentum-space bosonization method is extended to the case of a Nambu--Jona-Lasinio type model with vector and axial-vector mesons. The method presented gives the possibility of deriving any meson vertex function to all orders in…

High Energy Physics - Phenomenology · Physics 2016-08-16 Véronique Bernard , Ulf-G. Meißner , A. A. Osipov

We study the features of a SU(2) Polyakov-Nambu-Jona-Lasinio model that includes wave function renormalization and nonlocal vector interactions. Within this framework we analyze, among other properties, the masses, width and decay constants…

High Energy Physics - Phenomenology · Physics 2019-10-23 J. P. Carlomagno , M. F. Izzo Villafañe

We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy…

High Energy Physics - Phenomenology · Physics 2011-07-19 Johan Bijnens , Christophe Bruno , Eduardo de Rafael

We discuss the possible symmetries of the effective lagrangian describing interacting pseudoscalar-, vector-, and axial-vector mesons. Specific choices of the parameters give rise to an $[SU(2)\otimes SU(2)]^3$ symmetry. This symmetry can…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Casalbuoni , A. Deandrea , S. De Curtis , D. Dominici , F. Feruglio , R. Gatto , M. Grazzini

In this work we present a strong chiral meson Lagrangian up to and including $O(p^6)$ in the momentum expansion. It is derived from the Nambu--Jona-Lasinio (NJL) model using the heat-kernel method. Identities related to the properties of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Bel'kov , A. V. Lanyov , A. Schaale , S. Scherer

The method of differential regularization is applied to calculate explicitly the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model consisting of scalar and pseudoscalar fields. The regularization scheme independent…

High Energy Physics - Theory · Physics 2016-09-06 Yaw-Hwang Chen , Su-Long Nyeo

A chiral U(3)*U(3) Lagrangian containing, besides the usual meson fields, their first radial excitations is constructed. The Lagrangian is derived by bosonization of the Nambu-Jona-Lasinio quark model with separable non-local interactions,…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. K. Volkov

A short review of the development of the Nambu-Jona-Lasinio (NJL) model is given. The SU(2)x SU(2) and U(3)x U(3) local quark NJL models are considered. The mechanisms of spontaneous breaking of chiral symmetry and vector dominance are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Volkov , A. E. Radzhabov

We study the mass spectrum of light pseudoscalar and vector mesons in the presence of an external uniform magnetic field $\vec B$, considering the effects of the mixing with the axial vector meson sector. The analysis is performed within a…

High Energy Physics - Phenomenology · Physics 2024-07-22 Máximo Coppola , Daniel Gomez Dumm , Santiago Noguera , Norberto N. Scoccola
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