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In the mean field approximation of (2+1)-flavor Nambu--Jona-Lasinio model, we strictly derive several sets of coupled equations for the chiral susceptibility, the quark number susceptibility, etc. at finite temperature and quark chemical…

High Energy Physics - Phenomenology · Physics 2015-12-01 Yi-Lun Du , Ya Lu , Shu-Sheng Xu , Zhu-Fang Cui , Chao Shi , Hong-Shi Zong

We investigate chemical-potential ($\mu$) and temperature ($T$) dependence of scalar and pseudo-scalar meson masses for both real and imaginary $\mu$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with three-flavor…

High Energy Physics - Phenomenology · Physics 2011-01-18 Takeshi Matsumoto , Kouji Kashiwa , Hiroaki Kouno , Kagayaki Oda , Masanobu Yahiro

Recent sign-problem-free quantum Monte Carlo simulations of (2+1)-dimensional lattice quantum electrodynamics (QED$_3$) with $N_f$ flavors of fermions on the square lattice have found evidence of continuous quantum phase transitions between…

Strongly Correlated Electrons · Physics 2021-04-01 Rufus Boyack , Joseph Maciejko

We study the QCD phase structure in the three-flavor Nambu-Jona-Lasinio model, incorporating the interplay between the chiral and diquark condensates induced by the axial anomaly. We demonstrate that for an appropriate range of parameters…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

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

We determine the flavour dependence of the renormalisation-group-invariant running interaction through judicious use of both unquenched Dyson-Schwinger equation and lattice results for QCD's gauge-sector two-point functions. An important…

Nuclear Theory · Physics 2017-06-21 Daniele Binosi , Craig D. Roberts , Jose Rodriguez-Quintero

We study the QCD phase structure in the three-flavor Nambu--Jona-Lasinio model, incorporating the chiral-diquark interplay due to the axial anomaly. We demonstrate that for a certain range of model parameters, the low temperature critical…

High Energy Physics - Phenomenology · Physics 2011-02-01 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

We study the chiral phase transition at finite $T$ and $\mu_B$ within the framework of the SU(3) Nambu-Jona-Lasinio (NJL) model. The QCD critical end point (CEP) and the critical line at finite temperature and baryonic chemical potential…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pedro Costa , C. A. de Sousa , M. C. Ruivo , Yu. L. Kalinovsky

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are…

High Energy Physics - Lattice · Physics 2008-09-22 Stavros Christofi , Simon Hands , Costas Strouthos

The sensitivity of Polyakov Nambu-Jona-Lasinio (PNJL) model as an effective theory of quark dynamics to chiral symmetry has been utilized in studying the QCD phase-diagram. Also, Poyakov linear sigma-model (PLSM), in which information about…

High Energy Physics - Phenomenology · Physics 2015-09-30 Abdel Nasser Tawfik , Niseem Magdy

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

We use a three-flavor Nambu--Jona-Lasinio model to study the thermodynamics of strange quark matter under a strong magnetic field. The model Lagrangian features flavor SU(3) four-quark interactions and six-quark interactions that break the…

High Energy Physics - Phenomenology · Physics 2021-11-11 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini , Varese S. Timóteo , Marcus B. Pinto , Gastão Krein

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

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way…

High Energy Physics - Phenomenology · Physics 2016-11-23 M. Ruggieri , G. X. Peng

We have simulated lattice QCD directly in the chiral limit of zero quark mass by adding an additional, irrelevant 4-fermion interaction to the standard action. Using lattices having temporal extent of six and spatial extents of twelve and…

High Energy Physics - Lattice · Physics 2009-10-31 J. B. Kogut , D. K. Sinclair

The gluon and quark condensates and their temperature dependence are investigated within QCD premises. The input for the former is a gauge invariant $gg$ kernel made up of the direct (D), exchange (X) and contact(C) QCD interactions in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Mitra , W-Y. P. Hwang

Several relevant thermodynamic observables obtained within the (2+1) flavor and spin zero NJL and PNJL models with inclusion of the 't Hooft determinant and $8q$ interactions are compared with lattice-QCD (lQCD) results. In the case that a…

High Energy Physics - Phenomenology · Physics 2012-11-13 B. Hiller , J. Moreira , A. A. Osipov , A. H. Blin

We review the Nambu-Jona-Lasinio model (NJL), proposed long time ago, as a four-fermion interaction theory with chiral symmetry. The theory is not renormalizable and presents a symmetry breaking due to quantum corrections which depends on…

General Relativity and Quantum Cosmology · Physics 2015-11-20 Leonardo Quintanar G. , Axel de la Macorra

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value…

High Energy Physics - Phenomenology · Physics 2009-11-11 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

We investigate the chiral phase transition in the strong coupling lattice QCD at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on strong…

High Energy Physics - Lattice · Physics 2009-11-05 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto