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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

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 investigate the combined finite-size and thermo-magnetic effects on the properties of the quark matter, in the context of the two-flavored Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and the Schwinger…

High Energy Physics - Phenomenology · Physics 2023-07-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

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

The phase diagram of the two-dimensional Nambu-Jona-Lasinio (or chiral Gross-Neveu) model is characterized by an order parameter in the form of a chiral spiral. Its radius vanishes at a critical temperature, its period depends only on the…

High Energy Physics - Theory · Physics 2018-12-05 Michael Thies

Chiral phase properties of finite size hadronic systems are investigated within the Nambu--Jona-Lasinio model. Finite size effects are taken into account by making use of the multiple reflection expansion. We find that, for droplets with…

High Energy Physics - Phenomenology · Physics 2009-11-07 O. Kiriyama , A. Hosaka

We investigate the phase structure of the Nambu--Jona-Lasinio model at zero temperature, allowing for a two-dimensional spatial dependence of the chiral condensate. Applying the mean-field approximation, we consider various periodic…

High Energy Physics - Phenomenology · Physics 2015-06-04 Stefano Carignano , Michael Buballa

To investigate finite-volume effects on the chiral symmetry restoration and the deconfinement transition and some impacts of possible global topological background for a quantum chromodynamics (QCD) system with $N_f=2$ (two quark flavors),…

High Energy Physics - Phenomenology · Physics 2017-04-12 Zan Pan , Zhu-Fang Cui , Chao-Hsi Chang , Hong-Shi Zong

We derive the linear Langevin equation to describe the dynamics of the chiral phase transition above the critical temperature by applying the projection operator method to the Nambu-Jona-Lasinio model at finite temperature and density. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Koide

By using the extrapolation method, a polarized Polykov-loop potential at finite real angular velocity is constructed from the lattice results at finite imaginary angular velocity. The chiral and deconfinement phase transitions under…

High Energy Physics - Phenomenology · Physics 2024-03-19 Fei Sun , Jingdong Shao , Rui Wen , Kun Xu , Mei Huang

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…

Along with masses of pion and sigma meson modes, their dissociation into quark medium provide a detail spectral structures of the chiral partners. Present article has studied a finite size effect on that detail structure of chiral partners…

Nuclear Theory · Physics 2022-03-25 Paramita Deb , Sabyasachi Ghosh , Jai Prakash , Santosh Kumar Das , Raghava Varma

We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We discuss the chiral phase diagram in the model. We include the…

High Energy Physics - Phenomenology · Physics 2018-12-21 Ken-Ichi Aoki , Daisuke Sato , Masatoshi Yamada

Based on the analogy between the Nambu--Jona-Lasinio model of chiral symmetry breaking and the BCS theory of superconductivity, we investigate the effect of $\bar q q$ pair fluctuations on the chiral phase transition. We include uncondensed…

High Energy Physics - Phenomenology · Physics 2007-09-19 Lianyi He , Pengfei Zhuang

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic…

High Energy Physics - Phenomenology · Physics 2020-02-19 Zheng Zhang , Chao Shi , Hongshi Zong

We study the interplay between the chiral and the deconfinement transitions, both at high temperature and high quark chemical potential, by a non local Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation and…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki , R. Anglani , R. Gatto , G. Nardulli , M. Ruggieri

We derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature…

High Energy Physics - Phenomenology · Physics 2015-03-19 Marco Frasca

The effects of a type of regularization for finite temperatures on the estoration of chiral and axial symmetries are investigated within the SU(3) Nambu-Jona-Lasinio model. The regularization consists in using an infinite cutoff in the…

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

We study the inhomogeneous phase of a two-flavor quark matter under rotation at finite temperature and density using the Nambu-Jona-Lasinio model. To do this, we consider the chiral broken phase, in particular, described by the so-called…

Nuclear Theory · Physics 2023-12-12 S. M. A. Tabatabaee

We study the effect of periodic boundary conditions on chiral symmetry breaking and its restoration in Quantum Chromodynamics. As an effective model of the effective potential for the quark condensate, we use the quark-meson model, while…

High Energy Physics - Phenomenology · Physics 2020-12-15 Shen-Song Wan , Daize Li , Bonan Zhang , Marco Ruggieri