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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

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

We investigate the effects of the external gravitational and constant magnetic fields to the dynamical symmetrybreaking. As simple models of the dynamical symmetry breaking we consider the Nambu-Jona-Lasinio (NJL) model and the…

High Energy Physics - Theory · Physics 2009-09-17 T. Inagaki , S. D. Odintsov , Yu. I. Shil'nov

This is a report on our newly proposed model of dynamical supersymmetry breaking with some details of the analysis involved. The model in the simplest version has only a chiral superfield (multiplet), with a strong four-superfield…

High Energy Physics - Theory · Physics 2016-03-03 Yifan Cheng , Yan-Min Dai , Gaber Faisel , Otto C. W. Kong

The vacuum structure for a Nambu-Jona -Lasinio type model is studied using the effective potential approach. The relevant degrees of freedom are taken to be two different sets of static, auxiliary fields with different symmetry properties,…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. A. Dudas

The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of…

High Energy Physics - Theory · Physics 2007-05-23 Manuel Reenders

In this paper we discuss Nambu-Jona-Lasinio model as a classical model for dynamical mass generation and symmetry breaking. In addition we discuss the possible supersymmetric extensions of this model resulting from interaction terms with…

High Energy Physics - Theory · Physics 2012-08-28 Gaber Faisel , Dong-Won Jung , Otto C. W. Kong

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

In the context of Clifford functional integral formalism, we revisit the Nambu-Jona-Lasinio-type dynamical symmetry breaking model and examine the properties of the dynamically generated composite bosons. Given that the model with 4-fermion…

High Energy Physics - Phenomenology · Physics 2022-03-18 Wei Lu

The phase structure of $d=3$ Nambu-Jona-Lasinio model in curved spacetime with magnetic field is investigated in the leading order of the $1/N$-expansion and in linear curvature approximation (an external magnetic field is treated exactly).…

High Energy Physics - Theory · Physics 2009-09-17 D. M. Gitman , S. D. Odintsov , Yu. I. Shil'nov

Critical dynamics of the Nambu-Jona-Lasinio model, coupled to a constant electromagnetic field in D=2, 3, and 4, is reconsidered from a viewpoint of infrared behavior and vacuum instability. The latter is associated with constant electric…

High Energy Physics - Theory · Physics 2009-10-30 M. Ishi-i , T. Kashiwa , N. Tanimura

We discuss the phase structure of the NJL model in curved spacetime with magnetic field using $1/N$-expansion and linear curvature approximation. The effective potential for composite fields $\bar\psi \psi$ is calculated using the…

High Energy Physics - Theory · Physics 2016-09-06 B. Geyer , L. N. Granda , S. D. Odintsov

Dynamical chiral symmetry breaking (D$\chi$SB) is studied in the Nambu-Jona-Lasinio model for an arbitrary combination of external constant electric and magnetic fields. In 3+1 dimensions it is shown that the critical coupling constant…

High Energy Physics - Theory · Physics 2009-10-30 A. Yu. Babansky , E. V. Gorbar , G. V. Shchepanyuk

We discuss the phase structure (in the $1/N$-expansion) of the Nambu-Jona-Lasinio model in curved spacetime with non-trivial topology ${\cal M}^3 \times {\rm S}^1$. The evaluation of the effective potential of the composite field…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Leseduarte , S. D. Odintsov

A recently proposed new mechanism of D-term triggered dynamical supersymmetry breaking is reviewed. Supersymmetry is dynamically broken by nonvanishing D-term vacuum expectation value, which is realized as a nontrivial solution of the gap…

High Energy Physics - Phenomenology · Physics 2016-05-25 Nobuhito Maru

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 show the infrared equivalence between a recently proposed model containing a six dimensional scalar field with a four-dimensional localized Higgs type potential and the four-dimensional Nambu-Jona-Lasinio (NJL) model. In the dual NJL…

High Energy Physics - Theory · Physics 2009-11-11 Emilian Dudas , Chloe Papineau

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional…

High Energy Physics - Theory · Physics 2007-05-23 M. Ishi-i , T. Kashiwa , N. Tanimura

In order to investigate dynamical symmetry breaking, we study Nambu$\cdot$Jona-Lasinio model in the large-N limit in the stochastic quantization method. Here in order to solve Langevin equation, we impose specified initial conditions and…

High Energy Physics - Theory · Physics 2017-02-01 K. Ikegami , R. Mochizuki , K. Yoshida

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
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