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Related papers: Phase structure of NJL model with weak renormaliza…

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We show that the nonlocal two-flavor Nambu--Jona-Lasinio model predicts the enhancement of both chiral and axial symmetry breaking as the chiral imbalance of hot QCD matter, regulated by a chiral chemical potential $\mu_5$, increases. The…

High Energy Physics - Phenomenology · Physics 2020-07-22 Marco Ruggieri , Maxim N. Chernodub , Zhen-Yan Lu

We study the chiral phase transition in the presence of the chiral chemical potential $\mu_5$ using the two-flavor Nambu--Jona-Lasinio model. In particular, we analyze the reason why one can obtain two opposite behaviors of the chiral…

High Energy Physics - Phenomenology · Physics 2016-07-27 Lang Yu , Hao Liu , Mei Huang

We simulate the lattice Nambu--Jona-Lasinio (NJL) model in 3+1-dimensions at non-zero baryon chemical potential (mu) and zero temperature (T) and treat the results as phenomenologically relevant for cold, dense quark matter. Measurements of…

High Energy Physics - Lattice · Physics 2007-05-23 David N. Walters

We discuss results of numerical analyses of the 3+1 dimensional Nambu--Jona-Lasinio model at non-zero baryon density. By studying relevant order parameters, it is shown that the model goes through a transition between a vacuum with broken…

High Energy Physics - Lattice · Physics 2008-11-26 David N. Walters

Chiral symmetry breaking in a purely fermionic theory is investigated by the help of the renormalization group method. The RG equation for the running mass $m_k$ admits a solution with vanishing bare mass and finite physical mass. The…

High Energy Physics - Phenomenology · Physics 2011-08-17 Vincenzo Branchina

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

The chiral symmetry is explicitly and spontaneously broken in a strongly interacting massive fermionic system. We study the chiral symmetry restoration in massive four-fermion interaction models with increasing temperature and chemical…

High Energy Physics - Phenomenology · Physics 2023-06-02 Tomohiro Inagaki , Daiji Kimura , Hiromu Shimoji

We systematically study the chiral symmetry breaking and restoration in the presence of a pure electric field in the Nambu--Jona-Lasinio (NJL) model at finite temperature and baryon chemical potential. In addition, we also study the effect…

Nuclear Theory · Physics 2016-01-22 Gaoqing Cao , Xu-Guang Huang

The Functional Renormalisation Group approach is applied the imbalanced many-fermion systems. The system is found to exhibit the first order phase transition from the superfluid to normal phase when the density (chemical potential) mismatch…

Quantum Gases · Physics 2015-10-20 Boris Krippa

The properties of the chiral phase transition at finite temperature and chemical potential are investigated within a nonlocal covariant extension of the Nambu-Jona-Lasinio model based on a separable quark-quark interaction. We consider both…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. General , D. Gomez Dumm , N. N. Scoccola

The non-perturbative renormalization group equation for the Wilsonian effective potential is given in a certain simple approximation scheme in order to study chiral symmetry breaking phenomena dynamically induced by strong gauge…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

We first examine the scaling argument for a renormalization-group (RG) analysis applied to a system subject to the dimensional reduction in strong magnetic fields, and discuss the fact that a four-Fermi operator of the low-energy…

High Energy Physics - Phenomenology · Physics 2017-11-17 Koichi Hattori , Kazunori Itakura , Sho Ozaki

We consider the Renormalization Group (RG) fixed-point theory associated with a fermionic $\psi^4_d$ model in $d=1,2,3$ with fractional kinetic term, whose scaling dimension is fixed so that the quartic interaction is weakly relevant in the…

Mathematical Physics · Physics 2025-10-31 Alessandro Giuliani , Vieri Mastropietro , Slava Rychkov , Giuseppe Scola

We study rotating fermionic matter at finite temperature in the framework of the Nambu-Jona-Lasinio model. In order to respect causality the rigidly rotating system must be bound by a cylindrical boundary with appropriate boundary…

High Energy Physics - Theory · Physics 2017-03-08 M. N. Chernodub , Shinya Gongyo

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

The critical behavior of the three-dimensional $N$-vector chiral model is studied for arbitrary $N$. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , P. Parruccini , A. I. Sokolov

We employ the functional renormalization group flow equations to investigate the phase structure of the two-flavor quark-meson model in the presence of a finite isospin chemical potential, incorporating interactions with omega and rho…

High Energy Physics - Phenomenology · Physics 2025-06-10 Mohammed Osman , Defu Hou , Wentao Wang , Hui Zhang

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

The $SU(2)_A \times U(2)_V$-symmetric chiral linear sigma model in the presence of the axial anomaly is studied in the local-potential approximation of the Functional Renormalization Group (FRG). The renormalization group (RG) flow is…

High Energy Physics - Theory · Physics 2014-10-07 Mara Grahl , Dirk H. Rischke

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva