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We consider the dynamics of 2+1 dimensional $SU(N)$ gauge theory with Chern-Simons level $k$ and $N_f$ fundamental fermions. By requiring consistency with previously suggested dualities for $N_f\leq 2k$ as well as the dynamics at $k=0$ we…

High Energy Physics - Theory · Physics 2018-03-14 Zohar Komargodski , Nathan Seiberg

Consequences of explicit symmetry breaking in a physically motivated model of SU(N) antiferromagnet in spatial dimensions one and two are studied. It is shown that the case N=3, which can be realized in spin-1 cold atom systems, displays…

Strongly Correlated Electrons · Physics 2014-11-18 Alexei Kolezhuk

In this paper we discuss symmetry breakdown in NJL model at low N_c. In particular we propose a modified NJL model that displays a symmetry breakdown and also at finite temperatures under certain conditions the chiral fluctuations in this…

High Energy Physics - Phenomenology · Physics 2009-10-31 Egor Babaev

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

An investigation of dynamical chiral symmetry breaking on the light front is made in the Nambu--Jona-Lasinio model with one flavor and N colors. Analysis of the model suffers from extraordinary complexity due to the existence of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Itakura , S. Maedan

Dynamical symmetry breaking is investigated for a four-fermion Nambu-Jona-Lasinio model in external electromagnetic and gravitational fields. An effective potential is calculated in the leading order of the large-N expansion using the…

High Energy Physics - Theory · Physics 2009-10-31 E. Elizalde , Yu. I. Shil'nov

Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral…

High Energy Physics - Theory · Physics 2009-10-28 J. A. Gracey

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

High Energy Physics - Phenomenology · Physics 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei.…

Nuclear Theory · Physics 2007-05-23 K. D. Sviratcheva , J. P. Draayer , J. P. Vary

We explore the physical consequences of a scenario when the standard Hermitian Nambu--Jona-Lasinio (NJL) model spontaneously develops a non-Hermitian PT-symmetric ground state via dynamical generation of an anti-Hermitian Yukawa coupling.…

High Energy Physics - Theory · Physics 2021-09-30 M. N. Chernodub , Alberto Cortijo , Marco Ruggieri

This is a short report of the entire work developed during the study of the possible realizations of the "Top Mode" Standard Model. Here it is examined the breaking of internal symmetries from another point of view showing that is possible…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edoardo Di Napoli

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

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

In modern physics, spontaneous symmetry breaking is one of the most important and ubiquitous ideas. It is well known that the breakdown of global and continuous symmetry gives rise to gapless excitations called Nambu-Goldstone (NG) bosons.…

Strongly Correlated Electrons · Physics 2024-01-17 Noriaki Sannomiya

It is shown that a chiral SU(2) model can break Lorentz symmetry spontaneously at the Lagrangian level when gauge bosons become massive. This model seems to propose the principles and conceptual foundations leading to a unified picture of…

General Physics · Physics 2017-05-16 Kimihide Nishimura

We derived and solved the compositeness condition in the Nambu-Jona-Lasinio model at the next-to-leading order in 1/N, and obtained the expressions for the effective coupling constants in terms of the compositeness scale. In the NJL model…

Nuclear Theory · Physics 2009-10-30 Keiichi Akama

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

In an effort to investigate some of the low energy properties of QCD, in particular those related to chiral symmetry breaking, as well as to obtain insights on the behavior of an interacting theory of fermions on the lattice, the two flavor…

High Energy Physics - Lattice · Physics 2011-07-19 K. M. Bitar , P. M. Vranas

We revisit the theoretical predictions for anomalous radiative decays of pseudoscalar and vector mesons. Our analysis is performed in the framework of the Nambu-Jona-Lasinio model, introducing adequate parameters to account for the…

High Energy Physics - Phenomenology · Physics 2009-01-07 L. Epele , H. Fanchiotti , D. Gomez Dumm , A. G. Grunfeld

We investigate the impact of non-Hermiticity on the thermodynamic properties of interacting fermions by examining bilinear extensions to the $3+1$ dimensional $SU(2)$-symmetric Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics at…

High Energy Physics - Phenomenology · Physics 2025-10-23 Alexander Felski , Alireza Beygi , S. P. Klevansky