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We study the dynamical breaking of chiral symmetry in the 3-d Thirring model for a small number of fermion species. The critical point is identified by fitting lattice data to an equation of state. The spectrum of the theory is studied to…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio

It is shown that eight-quark interactions, which are needed to stabilize the ground state of the combined three flavor Nambu -- Jona-Lasinio and 't Hooft Lagrangians, play also an important role in determining the critical temperature at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Osipov , B. Hiller , J. Moreira , A. H. Blin , J. da Providencia

In order to estimate the effect of dynamical gluons to chiral condensate, the gap equation of SU(2) gauged Nambu--Jona-Lasinio model, under a constant background magnetic field, is investigated up to the two-loop order in 2+1 and 3+1…

High Energy Physics - Theory · Physics 2009-11-07 Masaru Ishi-i , Taro Kashiwa , Naoki Tanimura

We investigate the dynamical mass generation resulted from interaction terms with four chiral superfields. The kind of interactions maybe considered a supersymmetric generalization of the four-fermion interactions of the classic…

High Energy Physics - Theory · Physics 2015-05-30 Gaber Faisel , Dong-Won Jung , Otto C. W. Kong

In this paper we study how dynamical chiral symmetry breaking is affected by nonzero chiral chemical potential in Dirac semimetals. To perform this study we applied lattice quantum Monte Carlo simulations of Dirac semimetals. Within lattice…

Strongly Correlated Electrons · Physics 2019-08-14 V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov , A. M. Trunin

In this article, we study dynamic chiral symmetry breaking at zero temperature, finite chemical potential and external magnetic field with massless NJL model. We have proposed a mathematical method to classify phases in phase diagram of…

High Energy Physics - Phenomenology · Physics 2018-02-27 Song Shi , Juan Liu , Zhu-fang Cui

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential $\mu_5$ which mimics the effect of imbalanced chirality due to QCD instanton…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Marco Ruggieri , Raoul Gatto

In this work we analyze the finite-volume and magnetic effects on the phase structure of a generalized version of Nambu--Jona-Lasinio model with three quark flavors. By making use of mean-field approximation and Schwinger's proper-time…

High Energy Physics - Phenomenology · Physics 2019-04-09 L. M. Abreu , E. B. S. Corrêa , C. A. Linhares , A. P. C. Malbouisson

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the SUSY (supersymmetric) NJL (Nambu-Jona-Lasinio) model non-minimally interacting with external supergravity. Evaluating the effective…

High Energy Physics - Theory · Physics 2009-09-17 I. L. Buchbinder , T. Inagaki , S. D. Odintsov

The magnetic fields in heavy-ion collisions are important ingredients for many interesting phenomena, such as the Chiral Magnetic Effect, Chiral Magnetic Wave, the directed flow $v_1$ of $D^0$ mesons and the splitting of the spin…

High Energy Physics - Phenomenology · Physics 2023-04-10 Anping Huang , Duan She , Shuzhe Shi , Mei Huang , Jinfeng Liao

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

We systematically study quantum effect on chiral and $U_A(1)$ symmetry breaking under external electromagnetic fields in the frame of equal-time Wigner function formalism. We derive the transport and constraint equations for the quark…

High Energy Physics - Theory · Physics 2018-07-25 Xingyu Guo , Pengfei Zhuang

Large magnetic fields exist in magnetars and are produced in off-central heavy-ion collisions. For the latter, field strengths are estimated to be comparable to strong interaction scales. This fact has motivated many studies of QCD physics…

High Energy Physics - Phenomenology · Physics 2024-08-20 Prabal Adhikari , Brian C. Tiburzi

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Hatsuda , T. Kunihiro

Using the Sakai-Sugimoto model we study the effect of an external magnetic field on the dynamics of fundamental flavours in both the confined and deconfined phases of a large N_c gauge theory. We find that an external magnetic field…

High Energy Physics - Theory · Physics 2009-02-09 Clifford V. Johnson , Arnab Kundu

We study the cosmological implications of the Nambu-Jona-Lasinio (NJL model) when the coupling constant is field dependent. The NJL model has a four-fermion interaction describing two different phases due to quantum interaction effects and…

General Relativity and Quantum Cosmology · Physics 2015-11-24 Leonardo Quintanar G. , Axel de la Macorra

Magnetic catalysis of the chiral symmetry breaking and other magnetic properties of the (2+1)-dimensional Gross--Neveu model are studied taking into account the Zeeman interaction of spin-1/2 quasi-particles (electrons) with tilted (with…

High Energy Physics - Phenomenology · Physics 2014-12-17 K. G. Klimenko , R. N. Zhokhov

In this work corrections to the usual flavor SU(2) Nambu-Jona-Lasinio coupling due to a weak external magnetic field are calculated by considering quark polarization in a (dressed) gluon exchange mechanism for quark interactions. The quark…

High Energy Physics - Phenomenology · Physics 2016-10-26 Fabio L. Braghin

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger…

High Energy Physics - Theory · Physics 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Low energy hadron phenomenology involving the (u,d,s) quarks is often approached through effective multi-quark Lagrangians with the symmetries of QCD. A very successful approach consists in taking the four-quark Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Veronique Bernard , Alex H. Blin