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We study QED corrections to chiral symmetry breaking in the Nambu--Jona-Lasinio (NJL) model with two flavors of quarks. In this model, the isospin symmetry is broken by the differences between the current quark masses and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fujihara , T. Inagaki , D. Kimura

The Nambu-Jona-Lasinio model is considered with flavor-dependent coupling constants $G_{ij} \left[ ( \bar{\psi} \lambda_i \psi ) ( \bar{\psi} \lambda_j \psi )+ ( \bar{\psi} i\gamma_5 \lambda_i \psi ) ( \bar{\psi} i \gamma_5\lambda_j \psi…

High Energy Physics - Phenomenology · Physics 2023-07-11 Fabio L Braghin

An extended version of the Nambu-Jona-Lasinio (NJL) model is applied to describe both nuclear matter and surface properties of finite nuclei. Several parameter sets are discussed and a comparison of the saturation properties and equation of…

The mass formulas and decay constants of electrically charged and strange pseudoscalar mesons are analyzed within the combined framework of Nambu -- Jona-Lasinio model and the $1/N_c$ expansion up to $\mathcal O(1/N_c^2)$. The light quark…

High Energy Physics - Phenomenology · Physics 2023-07-28 A. A. Osipov

We calculate pion mass, pion decay constant, PCAC quark mass and nucleon mass in two flavour lattice QCD with unimproved Wilson fermion and gauge actions. Simulations are performed using DD-HMC algorithm at two lattice spacings and two…

High Energy Physics - Lattice · Physics 2015-06-12 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal , Anwesa Sarkar

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…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu \& Jona-Lasinio model. To remove the spurious motion and to restore good spin and isospin we consider a…

Nuclear Theory · Physics 2008-02-03 M. Schleif , R. Wuensch

We investigate the effect of a background magnetic field when applied to a nonextensive QCD medium in a $2+1$ flavour Nambu\textemdash Jona-Lasinio model. The effect of a constant as well as an $eB$-dependent coupling is considered. For the…

High Energy Physics - Phenomenology · Physics 2024-05-28 Chowdhury Aminul Islam

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva

In this review paper, I present a study of the structure of the hadrons computed in the covariant Nambu-Jona-Lasinio model as the chiral effective quark theory of QCD. I describe how the NJL model is treated to imitate the spontaneous…

High Energy Physics - Phenomenology · Physics 2026-04-14 Parada T. P. Hutauruk

We consider a two-flavor Nambu \& Jona-Lasinio model in Hartree approximation involving scalar-isoscalar and pseudoscalar-isovector quark-quark interactions. Average meson fields are defined by minimizing the effective Euklidean action. The…

Nuclear Theory · Physics 2015-06-26 R. Wuensch , K. Goeke , Th. Meissner

We studied the temporal correlation function of mesons in the pseudo-scalar channel in (2+1)-flavor QCD in the presence of external magnetic fields at zero temperature. The simulations were performed on $32^3 \times 96$ lattices using the…

High Energy Physics - Lattice · Physics 2020-01-16 Heng-Tong Ding , Sheng-Tai Li , Swagato Mukherjee , Akio Tomiya , Xiao-Dan Wang

In the present work the Mott effect for pions and kaons is described within a Beth- Uhlenbeck approach on the basis of the PNJL model. The contribution of these degrees of freedom to the thermodynamics is encoded in the temperature…

High Energy Physics - Phenomenology · Physics 2016-03-23 A. Dubinin , D. Blaschke , A. Radzhabov

The vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this…

High Energy Physics - Phenomenology · Physics 2020-12-30 R. M. Aguirre

The polarizability of a charged pion is estimated in the framework of the nonlocal chiral quark model of the Nambu--Jona-Lasinio type. Nonlocality is described by quark form factors of the Gaussian type. It is shown that the polarizability…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. E. Radzhabov , M. K. Volkov

It was recently derived that the QCD running coupling is a function of the magnetic field strength under the strong magnetic field approximation. Inspired by this progress and based on the self-consistent solutions of gap equations, the…

High Energy Physics - Phenomenology · Physics 2016-03-23 Chang-Feng Li , Li Yang , Xin-Jian Wen , Guang-Xiong Peng

We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which…

High Energy Physics - Phenomenology · Physics 2018-02-28 D. Gomez Dumm , M. F. Izzo Villafañe , N. N. Scoccola

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

High Energy Physics - Phenomenology · Physics 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

The charge form factor and weak decay constant of the pion as well as the pion-quark coupling constant in symmetric nuclear matter are explored in the framework of the Nambu--Jona-Lasinio model, where the pion is described as a bound state…

Nuclear Theory · Physics 2019-01-16 Parada T. P. Hutauruk , Yongseok Oh , K. Tsushima

We determine the light meson spectrum in QCD in the presence of background magnetic fields using quenched Wilson fermions. Our continuum extrapolated results indicate a monotonous reduction of the connected neutral pion mass as the magnetic…

High Energy Physics - Lattice · Physics 2018-03-06 Gunnar S. Bali , Bastian B. Brandt , Gergely Endrodi , Benjamin Glaessle