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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

We propose a new theoretical framework to investigate the properties of finite nuclei based on an extended Nambu-Jona-Lasinio (eNJL) model, where the Dirac sea, the spontaneous chiral symmetry breaking, and the quark degrees of freedom are…

Nuclear Theory · Physics 2024-11-12 Cheng-Jun Xia , Yu-Ting Rong , Ting-Ting Sun

The supersymmetric version of the Nambu-Jona-Lasinio model is investigated in connection with the chiral symmetry breaking induced by a soft SUSY breaking term. It is found that the broken chiral symmetry due to the soft breaking term is…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

We give an introduction to the dynamical symmetry breaking with large anomalous dimension. This is the basis of tightly bound composite Higgs models such as walking technicolor, strong ETC technicolor and top quark condensate, which are all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Koichi Yamawaki

We investigate a possibility of a composite Z' vector boson. For the compositeness, the required gauge coupling g in low energy is not so big, g^2/(4\pi) > 0.015 in the case of the U(1)_{B-L} model. We show that the Stueckelberg model is…

High Energy Physics - Phenomenology · Physics 2014-11-25 Michio Hashimoto

Based on the Cornwall-Jackiw-Tomboulis effective potential, we extensively study nonperturbative renormalization of the gauged Nambu-Jona-Lasinio model in the ladder approximation with standing gauge coupling. Although the pure…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kei-ichi Kondo , Masaharu Tanabashi , Koichi Yamawaki

We consider the gauge theory of Lorentz group coupled in a nonminimal way to fermions. We suggest the hypothesis that the given theory may exist in the phase with broken chiral symmetry and without confinement. The lattice discretization of…

High Energy Physics - Lattice · Physics 2013-10-22 M. A. Zubkov

We derive gluon fragmentation functions in the Nambu-Jona-Lasinio (NJL) model by treating a gluon as a pair of color lines formed by fictitious quark and anti-quark ($q\bar q$). Gluon elementary fragmentation functions are obtained from the…

High Energy Physics - Phenomenology · Physics 2016-10-05 Dong-Jing Yang , Hsiang-nan Li

Recent work on QCD-like theories has shown that the addition of adjoint fermions obeying periodic boundary conditions to gauge theories on $R^{3}\times S^{1}$ can lead to a restoration of center symmetry and confinement for sufficiently…

High Energy Physics - Lattice · Physics 2010-04-06 Hiromichi Nishimura , Michael C. Ogilvie

The soliton formation is considered in the Nambu-Jona-Lasinio model with local four quark interaction and various schemes to regularize the energy contribution of the polarized vacuum. No additional constraints are admitted in order to…

Nuclear Theory · Physics 2009-10-31 J. Providencia , H. Walliser , H. Weigel

The Nambu--Jona-Lasinio (NJL) model involves a pointlike 4-fermion interaction. While it gives a useful description of chiral dynamics (mainly in QCD), it nonetheless omits the crucially important internal wave-function of a two-body bound…

High Energy Physics - Phenomenology · Physics 2025-05-16 Christopher T. Hill

We show how to derive the complete set of electromagnetic corrections to the Nambu-Jona-Lasinio (NJL) model of the nucleon. Our results enable an accurate estimate of the electromagnetic contribution to the neutron-proton mass difference…

Nuclear Theory · Physics 2009-10-31 A. N. Kvinikhidze , B. Blankleider

We derive Ginsparg-Wilson relation for a lattice chiral symmetry in theories with self-interacting fermions. Auxiliary scalar and pseudo-scalar fields are introduced on a coarse lattice to give an effective description of the fermionic…

High Energy Physics - Lattice · Physics 2016-09-01 Yuji Igarashi , Hiroto So , Naoya Ukita

We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and is precisely the axial anomaly. Explicit…

High Energy Physics - Lattice · Physics 2007-05-23 H. Banerjee , Asit K. De

In (2+1) dimensions, we consider the model of a $N$ flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

The $SU(N_f)_L \otimes SU(N_f)_R$ chiral symmetry of QCD is of central importance for the nonperturbative low-energy dynamics of light quarks and gluons. Lattice field theory provides a theoretical framework in which these dynamics can be…

High Energy Physics - Lattice · Physics 2009-11-10 S. Chandrasekharan , U. -J. Wiese

The Nambu--Jona-Lasinio model (NJL) is extended to incorporate heavy quark spin-symmetry. In this model baryons containing one heavy quark are analyzed as bound-states of light baryons, represented as chiral solitons, and mesons containing…

High Energy Physics - Phenomenology · Physics 2016-08-15 L. Gamberg , H. Weigel , U. Zückert , H. Reinhardt

A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

In this work, a modified Nambu-Jona-Lasinio (NJL) model with proper-time regularization is employed to study the structure of nonstrange quark stars. The coupling constant of four-fermion interaction in the conventional NJL model is…

High Energy Physics - Phenomenology · Physics 2022-12-28 Cheng-Ming Li , Shu-Yu Zuo , Ya-Peng Zhao , Hui-Jun Mu , Yong-Feng Huang

Yukawa's old bilocal field theory, with modernization in the treatment of "relative time," can describe a relativistic bound state of chiral fermions. This connects to bosonized effective chiral Lagrangians and the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2023-12-12 Christopher T. Hill