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We point out that adding higher dimension operators to the Nambu-Jona-Lasinio model can stabilize chiral symmetry breaking and resolve the issue raised by Kleinert and Van den Bossche that chiral symmetry breaking cannot occur for $N_c \le…

Nuclear Theory · Physics 2009-10-31 Taekoon Lee , Yongseok Oh

We study QED corrections to chiral symmetry breaking in the Nambu--Jona-Lasinio (NJL) model with two flavors of quarks. In this model, the isospin symmetry is broken by the differences between the current quark masses and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fujihara , T. Inagaki , D. Kimura

We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong…

High Energy Physics - Lattice · Physics 2009-10-30 L. Del Debbio , S. J. Hands , J. C. Mehegan

An investigation of the Nambu-Jona-Lasinio model with external constant electromagnetic and weak gravitational fields is carried out in three- and four-dimensional spacetimes. The effective potential of the composite bifermionic fields is…

High Energy Physics - Theory · Physics 2007-05-23 Yu. I. Shil'nov

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

In the relativistic impulse approximation (RIA), we study symmetry potentials and in-medium nucleon-nucleon (NN) cross sections with the Nambu-Jona-Lasinio (NJL) model that features chiral symmetry. The chiral symmetry that plays a…

Nuclear Theory · Physics 2021-06-16 Si-Na Wei , Rong-Yao Yang , Jing Ye , Niu Li , Wei-Zhou Jiang

Effect of magnetic field on chiral symmetry breaking in a 3-flavor Nambu Jona Lasinio (NJL) model at finite temperature and densities is considered here using an explicit structure of ground state in terms of quark and antiquark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

We investigate effects of the axial anomaly term with a chiral-diquark coupling on the phase diagram within a two-plus-one-flavor Nambu-Jona-Lasinio (NJL) model under the charge-neutrality and $\beta$-equilibrium constraints. We find that…

High Energy Physics - Phenomenology · Physics 2011-06-08 Zhao Zhang , Teiji Kunihiro

We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

We investigate color superconductivity and chiral symmetry restoration at finite temperature and baryon density in the frame of standard two flavor Nambu--Jona-Lasinio model. We derive the diquark mass in RPA, discuss its constraint on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pengfei Zhuang

The Nambu Jona-Lasinio model of chiral symmetry breaking predicts a second order chiral phase transition. If the fermions in addition have non-abelian gauge interactions then the transition is expected to become a crossover as the NJL term…

High Energy Physics - Theory · Physics 2017-05-17 Will Clemens , Nick Evans

We introduce a simple model of dynamical supersymmetry breaking. It is like a supersymmetric version of a Nambu--Jona-Lasinio model with a spin one composite. The simplest version of the model as presented here has a single chiral…

High Energy Physics - Phenomenology · Physics 2015-07-07 Yifan Cheng , Yan-Min Dai , Gaber Faisel , Otto C. W. Kong

We investigate chiral symmetry breaking and strong CP violation effects in the phase diagram of strongly interacting matter. We demonstrate the effect of strong CP violating terms on the phase structure at finite temperature and densities…

High Energy Physics - Phenomenology · Physics 2015-06-03 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D < 4 dimensions the theory has solutions which exhibit chiral symmetry breaking for all…

High Energy Physics - Theory · Physics 2010-03-04 V. P. Gusynin , A. W. Schreiber , T. Sizer , A. G. Williams

Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

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

According to the Ideal Walking Technicolor paradigm large mass anomalous dimensions arise in gauged Nambu--Jona-Lasinio (NJL) models when the four-fermion coupling is sufficiently strong to induce spontaneous symmetry breaking in an…

High Energy Physics - Lattice · Physics 2017-08-02 Jarno Rantaharju , Claudio Pica , Francesco Sannino

The mass generation in the (3+1)-dimensional supersymmetric Nambu-Jona-Lasinio model in a constant magnetic field is studied. It is shown that the external magnetic field catalyzes chiral symmetry breaking.

High Energy Physics - Theory · Physics 2009-10-30 Igor A. Shovkovy

We determine the critical coupling constant above which dynamical chiral symmetry breaking occurs in a class of QCD motivated models where the gluon propagator has an enhanced infrared behavior. Using methods of bifurcation theory we find…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. C. Aguilar , A. A. Natale , R. Rosenfeld

Phase structure of the four dimensional Nambu -- Jona-Lasinio model has been investigated in two cases: 1) in nonsimply connected space-time of the form $R^3\times S^1$ (space coordinate is compactified and the length of the circle $S^1$ is…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. G. Klimenko