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Quantum Chromodynamics (QCD) predicts that topological charge changing transitions will take place in hot quark matter. Such transitions induce P- and CP-violating effects. We will show that in the presence of a magnetic field these…

High Energy Physics - Phenomenology · Physics 2008-11-26 Harmen J. Warringa

A two-flavor color superconducting (2SC) Nambu--Jona-Lasinio (NJL) model is introduced at finite temperature T, chemical potential mu and in the presence of a constant magnetic field eB. The effect of (T,mu,eB) on the formation of chiral…

High Energy Physics - Phenomenology · Physics 2015-03-17 Sh. Fayazbakhsh , N. Sadooghi

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 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 discuss the phase structure of the NJL model in curved spacetime with magnetic field using $1/N$-expansion and linear curvature approximation. The effective potential for composite fields $\bar\psi \psi$ is calculated using the…

High Energy Physics - Theory · Physics 2016-09-06 B. Geyer , L. N. Granda , S. D. Odintsov

Chiral symmetry is known to be decisive for an understanding of the low energy sector of strong interactions. It is thus important for a model of relativistic heavy ion collisions to incorporate the dynamical breaking and restoration of…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Rehberg

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 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

We have estimated parallel and perpendicular components of electrical conductivity and shear viscosity of quark matter at finite magnetic field and temperature by using their one-loop Kubo expressions in the framework of Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2023-06-28 Aritra Bandyopadhyay , Snigdha Ghosh , Ricardo L. S. Farias , Sabyasachi Ghosh

The effective quark models are employed to describe the hadronization of QCD in the quark sector. They reveal a different structure depending on how the spontaneous chiral symmetry breaking (CSB) is implemented. When the generation of light…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov , D. Espriu , R. Tarrach

The influence of intense magnetic fields on the behavior of color superconducting cold quark matter is investigated using an SU(2)$_f$ NJL-type model for which a novel regulation scheme is introduced. In such a scheme the contributions…

High Energy Physics - Phenomenology · Physics 2015-11-04 Pablo G. Allen , Ana G. Grunfeld , Norberto N. Scoccola

In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Krishna Rajagopal

We study the critical point in the QCD phase diagram in the Nambu-Jona-Lasino (NJL) model by including a scalar-vector coupled interaction. We find that varying the strength of this interaction, which has no effect on the vacuum properties…

Nuclear Theory · Physics 2021-01-13 Kai-Jia Sun , Che-Ming Ko , Shanshan Cao , Feng Li

The magnetic catalysis of discrete chiral symmetry breaking in the 2+1 dimensional Nambu-Jona-Lasinio model is analyzed. A particular attention is paid to a possible application of the effect in solid state physics. The fermion contribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

A possibility of formation of static dual scalar and pseudoscalar density wave condensates in dense quark matter is considered for the Nambu--Jona-Lasinio model in an external magnetic field. Within a mean-field approximation, the effective…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. E. Frolov , V. Ch. Zhukovsky , K. G. Klimenko

We consider a new approach to the description of dense nuclear matter in the framework of chirally symmetric, quark-based hadron models. As previously in the Skyrme model, the dense environment is described in terms of hyperspherical cells…

Nuclear Theory · Physics 2009-10-28 Hilmar Forkel

We study the phase diagram of the Nambu-Jona-Lasinio model in the external magnetic field within the mean-field approximation, taking into account the inhomogeneous chiral condensate. It is shown that there appears a new type of the chiral…

Nuclear Theory · Physics 2015-08-19 Kazuya Nishiyama , Shintaro Karasawa , Toshitaka Tatsumi

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

Employing a field dependent three-momentum cut-off regularization technique, we study the phase structure and mesonic masses using the $2$-flavour Nambu-Jona Lasinio model at finite temperature and density in presence of arbitrary external…

Nuclear Theory · Physics 2019-07-10 Nilanjan Chaudhuri , Snigdha Ghosh , Sourav Sarkar , Pradip Roy

Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the (3+1)-dimensional Nambu--Jona-Lasinio model (NJL) in the large-$N_c$ limit ($N_c$ is the number of quark colors). Its phase structure is…

High Energy Physics - Phenomenology · Physics 2019-03-27 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov
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