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Sigma decay and its relation with chiral phase transition are discussed at finite temperature and density in the framework of the Nambu-Jona-Lasinio model. The decay rate for the process sigma -> 2 pions to first order in a 1/N_c expansion…

Nuclear Theory · Physics 2009-11-06 P. Zhuang , Z. Yang

Both in heavy-ion collisions as in magnetars very strong magnetic fields are produced, which has its influence on the phases of matter involved. In this paper we investigate the effect of strong magnetic fields (B = 5 m_pi^2 /e = 1.7 x…

High Energy Physics - Phenomenology · Physics 2010-04-14 Jorn K. Boomsma , Daniel Boer

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

Chiral symmetry is an important aspect of QCD. Modelling this via the Nambu-Jona-Lasinio model, we construct a complete relativistic transport theory for quarks and mesons. The collision integral is analysed in a systematic 1/N_c…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. P. Klevansky , A. Ogura , P. Rehberg , J. Hüfner

The recent discussions by Koci\'c and Kogut on the nature of the chiral phase transition are reviewed. The mean-field nature of the transition suggested by these authors is supported in random matrix theory by Verbaarschot and Jackson which…

Nuclear Theory · Physics 2009-10-30 G. E. Brown , M. Buballa , M. Rho

Studies of the QCD phase diagram must properly include nucleonic degrees of freedom and their thermodynamics in the range of baryon chemical potentials characteristic of nuclear matter. A useful framework for incorporating relevant nuclear…

High Energy Physics - Phenomenology · Physics 2014-01-27 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase…

High Energy Physics - Phenomenology · Physics 2023-02-22 Gaoqing Cao

The finite temperature phase transition of strongly interacting matter is studied within a nonlocal chiral quark model of the NJL type coupled to a Polyakov loop. In contrast to previous investigations which were restricted to the…

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

The problem of quantum fluctuations of the chiral condensate due to next-to-leading contributions is investigated. Meson contributions to the chiral condensate are calculated in the Nambu--Jona-Lasinio model with the analytical…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

Based on a recently derived effective chiral meson Lagrangian from the extended SU(2)\otimes SU(2) Nambu -- Jona-Lasinio (ENJL) model, in the linear realization of chiral symmetry, we extract to leading order in the 1/N_c expansion all…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander A. Osipov , Marcos Sampaio , Brigitte Hiller

We study the thermodynamics of the Nambu--Jona-Lasinio model with Polyakov loops, where spontaneous chiral symmetry breaking and confinement are taken into account. We focus on the phase structure of the model and explore the…

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

The effect of explicit chiral-symmetry breaking on inhomogeneous chiral phases is studied within a Nambu-Jona-Lasinio model with nonzero current quark mass. Generalizing an earlier result obtained in the chiral limit, we show within a…

High Energy Physics - Phenomenology · Physics 2020-06-04 Michael Buballa , Stefano Carignano

An investigation of dynamical chiral symmetry breaking on the light front is made in the Nambu--Jona-Lasinio model with one flavor and N colors. Analysis of the model suffers from extraordinary complexity due to the existence of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Itakura , S. Maedan

We investigate strong and radiative meson decays in a generalized Nambu--Jona-Lasinio model. The one loop order calculation provides a satisfactory agreement with the data for the mesonic spectrum and for radiative decays. Higher order…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Bernard , A. H. Blin , B. Hiller , U. -G. Meißner , M. C. Ruivo

The system of second-order equations of mean-field expansion is considered for Nambu--Jona-Lasinio model with chiral symmetry of SU(2)-group. The system includes equations for four-particle and three-particle functions and also equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

The effects of meson fluctuations are studied in a nonlocal generalization of the Nambu-Jona-Lasinio model, by including terms of next-to-leading order (NLO) in 1/N_c. In the model with only scalar and pseudoscalar interactions NLO…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert S. Plant , Michael C. Birse

The appearance of a new phase of QCD, Quarkyonic Matter in the limit of large number of colors is studied within Nambu-Jona-Lassinio effective chiral model coupled to the Polyakov loop. The interplay of this novel QCD phase with chiral…

High Energy Physics - Phenomenology · Physics 2010-04-14 L. McLerran , K. Redlich , C. Sasaki

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

We study magnetic field effect on chiral phase transition in a Nambu--Jona-Lasinio model. In comparison with mean field approximation containing quarks only, including mesons as quantum fluctuations in the model leads to a transition from…

High Energy Physics - Theory · Physics 2016-08-31 Shijun Mao

We investigate the chiral phase transition in rotating quark matter with chiral imbalance using the two-flavor Nambu-Jona-Lasinio (NJL) model regularized by the Medium Separation Scheme (MSS). Our numerical calculations demonstrate that the…

High Energy Physics - Phenomenology · Physics 2026-03-31 Huang-Jing Zheng , Peng Nan , Sheng-Qin Feng