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

High Energy Physics - Phenomenology · Physics 2017-08-23 Takahiro Fujihara , Tomohiro Inagaki , Daiji Kimura

We derive a Nambu--Jona-Lasinio (NJL) model from a non-local gauge theory and show that it has confining properties at low energies. In particular, we present an extended approach to non-local QCD and a complete revision of the technique of…

High Energy Physics - Phenomenology · Physics 2024-04-15 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

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

We explore the inhomogeneous QCD phases at finite density and temperature using a (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model in the large Nc limit with an additional attractive tensor-tensor interaction channel. For single modulated…

Nuclear Theory · Physics 2013-04-04 Bo Feng , Efrain J. Ferrer , Vivian de la Incera

We develop a dynamical, Lorentz invariant theory of composite scalars in configuration space consisting of chiral fermions, interacting by the perturbative exchange of a massive "gluon" of coupling $g_0$ and mass $M_0^2$ (the coloron…

High Energy Physics - Phenomenology · Physics 2024-10-25 Christopher T. Hill

The recently developed Nambu-Jona-Lasinio (NJL) - Jet model is used as an effective chiral quark theory to calculate the quark fragmentation functions to pions, kaons, nucleons, and antinucleons. The effects of the vector mesons rho, K* and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Hrayr H. Matevosyan , Anthony W. Thomas , Wolfgang Bentz

An effective hadronic lagrangian consistent with the symmetries of quantum chromodynamics and intended for applications to finite-density systems is constructed. The degrees of freedom are (valence) nucleons, pions, and the low-lying…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , Brian D. Serot , Hua-Bin Tang

The six-quark instanton induced 't Hooft interaction, which breaks the unwanted U_A (1) symmetry of QCD, is a source of perturbative corrections to the leading order result formed by the four-quark forces with the U_L(3)X U_R(3) chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander A. Osipov , Brigitte Hiller , Veronique Bernard , Alex H. Blin

Ab initio numerical simulations of the thermodynamics of dense quark matter remain a challenge. Apart from the infamous sign problem, lattice methods have to deal with finite volume and discretization effects as well as with the necessity…

High Energy Physics - Phenomenology · Physics 2015-12-23 Jens O. Andersen , Tomas Brauner , William R. Naylor

We study the two-color QCD matter within two fundamental quark flavors via both chiral perturbation theory and Nambu--Jona-Lasinio model methods. The effective Lagrangian described by low lying meson and baryon, i.e., diquark, is derived,…

High Energy Physics - Phenomenology · Physics 2018-08-07 Jingyi Chao

We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a…

High Energy Physics - Lattice · Physics 2017-02-16 Jarno Rantaharju , Vincent Drach , Ari Hietanen , Claudio Pica , Francesco Sannino

I briefly discuss effective Lagrangians for strong interactions while concentrating on two specific lagrangians for QCD at large matter density. I then introduce spectral duality in QCD a la Montonen and Olive. The latter is already present…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francesco Sannino

In this paper we elaborate on higher spin cubic interactions for massless, massive and partially massless fields. We work in the gauge invariant frame-like multispinor formalism, combining Lagrangian and unfolded formulations.

High Energy Physics - Theory · Physics 2021-11-09 Yu. M. Zinoviev

It has become clearer recently that the regular pattern of three flavor nonets describing the low spin meson multiplets seems to require some modification for the case of the spin 0 scalar mesons. One picture which has had some success,…

High Energy Physics - Phenomenology · Physics 2011-02-23 Amir H. Fariborz , Renata Jora , Joseph Schechter , M. Naeem Shahid

Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Pascalutsa

The effects of meson loops in the vacuum sector of the Nambu--Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order $1 \over \Nc$ terms into account. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Nikolov , W. Broniowski , C. V. Christov , G. Ripka , K. Goeke

The thermodynamics of a first order chiral phase transition is considered in the presence of spinodal phase separation within the Nambu-Jona-Lasinio (NJL) model. The properties of the basic thermodynamic observables in the coexistence phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

We compare two QCD-inspired quark models with four-fermion interaction, without and with the remnant coupling to low-energy gluons, in the regime of dynamical chiral symmetry breaking (DCSB). The first one, the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov

We consider the low energy limit of three dimensional Quantum Chromodynamics with an even number of flavors. We show that Parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective…

High Energy Physics - Theory · Physics 2015-06-26 G. Ferretti , S. G. Rajeev , Z. Yang