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We consider the phase diagram of two-flavor quark matter under neutron star constraints for two nonlocal, covariant quark models within the mean field approximation. In the first case (Model I) the nonlocality arises from the regularization…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Gomez Dumm , D. B. Blaschke , A. G. Grunfeld , N. N. Scoccola

In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We…

High Energy Physics - Phenomenology · Physics 2013-12-09 Yi-lun Du , Zhu-fang Cui , Yong-hui Xia , Hong-shi Zong

Employing an extended three flavor version of the NJL model we discuss in detail the phase diagram of quark matter. The presence of quark as well as of diquark condensates gives raise to a rich structure of the phase diagram. We study in…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Gastineau , R. nebauer , J. Aichelin

We study some bulk thermodynamical characteristics, meson properties and the nucleon as a baryon number one soliton in a hot quark matter in the NJL model as well as in a hot nucleon matter in a hybrid NJL model in which the Dirac sea of…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Berger , Chr. -V. Christov

We decribe properties of 2+1-dimensional Nambu-Jona-Lasinio (NJL) models at finite-temperature, beginning with the model with a discrete chiral symmetry. We then consider the model with a continuous $U(1) \times U(1)$ chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Appelquist , Myck Schwetz

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

We present results from numerical simulations of the Nambu-Jona-Lasinio model with an SU(2)xSU(2) chiral symmetry and N_c=4,8, and 16 quark colors at nonzero temperature. We performed the simulations by utilizing the hybrid Monte Carlo and…

High Energy Physics - Lattice · Physics 2009-11-11 Costas Strouthos , Stavros Christofi

Large-N expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This is a counterexample to the standard…

High Energy Physics - Lattice · Physics 2009-10-22 Aleksandar Kocic , John Kogut

We consider a two flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model where the Lagrangian includes an interaction term that explicitly breaks the U$_A(1)$ anomaly. At finite temperature, the restoration of chiral and axial symmetries,…

High Energy Physics - Phenomenology · Physics 2012-02-21 M. C. Ruivo , M. Santos , Pedro Costa , C. A. de Sousa

We reinvestigate the conditions for stable matter solutions in the Nambu--Jona-Lasinio (NJL) model. In mean field approximation the NJL model can be regarded as an extension of the Walecka mean field model to include negative energy fermion…

Nuclear Theory · Physics 2009-10-30 Michael Buballa

We show how two important types of phase transition in large N_c gauge theory with fundamental flavours can be cast into the same classifying framework as the meson-melting phase transition. These are quantum fluctuation induced transitions…

High Energy Physics - Theory · Physics 2009-01-06 Veselin G. Filev , Clifford V. Johnson

We study the chiral phase transition inside a rotating cylinder within the framework of the Namb--Jona-Lasinio model. A spectral boundary condition is imposed to avoid faster than light. We investigate how the geometry of the cylinder and…

High Energy Physics - Phenomenology · Physics 2020-12-17 Zheng Zhang , Chao Shi , Xiao-Tao He , Xiaofeng Luo , Hong-Shi Zong

We estimate here chiral susceptibility at finite temperature within the framework of the Nambu-Jona-Lasinio model (NJL) using the Wigner function approach. We also estimate it in the presence of chiral chemical potential ($\mu_5$) as well…

High Energy Physics - Phenomenology · Physics 2019-12-04 Arpan Das , Deepak Kumar , Hiranmaya Mishra

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

We investigate the chiral phase transition at nonzero temperature $T$ and baryon-chemical potential $\mu_B$ within the framework of the linear sigma model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in both models…

Nuclear Theory · Physics 2010-04-06 O. Scavenius , A. Mocsy , I. N. Mishustin , D. H. Rischke

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki , C. Frick , J. Jersak , X. Q. Luo

We analyze the phase diagram of QCD with two massless quark flavors in the space of temperature, T, and chemical potential of the baryon charge, mu, using available experimental knowledge of QCD, insights gained from various models, as well…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. A. Halasz , A. D. Jackson , R. E. Shrock , M. A. Stephanov , J. J. M. Verbaarschot

We study the phase structure of the unpolarized and polarized two-flavor quark matters at zero and finite temperatures within the Nambu--Jona-Lasinio (NJL) model. We focus on the region, which includes the coexisting phase of…

High Energy Physics - Phenomenology · Physics 2007-09-17 M. Inui , H. Kohyama , A. Niégawa

The possible different phases of cold quark matter in the presence of a finite magnetic field and chemical potential are obtained within the SU(3) NJL model for two parameter sets often used in the literature. Although the general pattern…

High Energy Physics - Phenomenology · Physics 2014-08-20 A. G. Grunfeld , D. P. Menezes , M. B. Pinto , N. N. Scoccola

We discuss the net quark and isovector fluctuations as well as off-diagonal quark flavor susceptibilities along the chiral phase transition line in the Nambu--Jona-Lasinio (NJL) model. The model is formulated at non-zero quark and isospin…

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