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An investigation of the Nambu-Jona-Lasino model with external constant electric 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 2009-10-30 E. Elizalde , Yu. I. Shil'nov , V. V. Chitov

We study pion condensation and the phase structure in a two-flavor Nambu-Jona-Lasinio model in the presence of baryon chemical potential $\mu$ and isospin chemical potential $\mu_I$at zero and finite temperature. There is a competition…

High Energy Physics - Phenomenology · Physics 2009-12-02 Jens O. Andersen , Lars Kyllingstad

We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in SU(2) Yang-Mills theory on the lattice. We observe that the chiral condensate grows linearly with the field strength B up to \sqrt{e B} = 3…

High Energy Physics - Lattice · Physics 2009-12-14 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

The breaking of chiral symmetry of light quarks at zero temperature in presence of strong quantizing magnetic field is studied using Nambu-Jona-Lasinio (NJL) model with Thomas-Fermi type semi-classical formalism. It is found that the…

Astrophysics · Physics 2007-05-23 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty

The effective dimensional reduction of fermion-antifermion pairing dinamics in Nambu-Jona-Lasinio model in external chromomagnetic field is considered. It is shown that such a field causes the reduction of the space dimension by one unit in…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Shovkovy , V. M. Turkowski

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

We investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at finite temperature and density, on the basis of the three flavor Nambu-Jona-Lasinio model with the anomaly term given by the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

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

We consider here chiral symmetry breaking through nontrivial vacuum structure with quark antiquark condensates. We then relate the condensate function to the wave function of pion as a Goldstone mode. This simultaneously yields the pion…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Mishra , S. P. Misra

We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone…

High Energy Physics - Phenomenology · Physics 2016-07-13 Thomas DeGrand , Maarten Golterman , Ethan T. Neil , Yigal Shamir

In pursuit of the sketching the effective magnetized QCD phase diagram, we found conditions on the critical coupling for chiral symmetry breaking in the Nambu-Jona-Lasinio model in a nontrivial thermo-magnetic environment. Critical values…

High Energy Physics - Theory · Physics 2018-08-15 Angelo Martínez , Alfredo Raya

We study the muon anomalous magnetic moment a_\mu = (g_\mu - 2)/2 in a supersymmetric U(1)' model. The neutralino sector has extra components from the superpartners of the U(1)' gauge boson and the extra Higgs singlets that break the U(1)'…

High Energy Physics - Phenomenology · Physics 2009-09-15 Vernon Barger , Chung Kao , Paul Langacker , Hye-Sung Lee

It is shown that flavor mixing of the strange and light quarks allows for existence of a much larger baryonic chemical potential window for the formation of a stable dual chiral-wave state as compared to the well known two flavor case. In…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. Moreira , B. Hiller , W. Broniowski , A. A. Osipov , A. H. Blin

We propose a non-universal U(1)'_F symmetry combined with the Minimal Supersymmetric Standard Model. All anomaly cancellation conditions are satisfied without exotic fields other than three right-handed neutrinos. Because our model allows…

High Energy Physics - Phenomenology · Physics 2014-11-21 Mu-Chun Chen , Jinrui Huang

I discuss the consequences of the constraints imposed on the Dirac spectrum by the restoration of chiral symmetry in the chiral limit of gauge theories with two light fermion flavors, with particular attention to the fate of the anomalous…

High Energy Physics - Lattice · Physics 2025-10-29 Matteo Giordano

The symmetry breakdown pattern is studied in models containing one fermion flavor multiplet and a multicomponent scalar field, supplemented with a chiral Yukawa-interaction, and in presence of an explicit symmetry breaking source quadratic…

High Energy Physics - Phenomenology · Physics 2017-11-03 A. Jakovác , I. Kaposvári , A. Patkós

We describe a 4D U(1) lattice gauge theory with charged scalar $\phi$ and fermion $\chi$ matter fields ($\chi U \phi$ model). At sufficiently strong gauge coupling, the chiral symmetry is broken and the mass of the unconfined composite…

High Energy Physics - Lattice · Physics 2009-10-31 W. Franzki , J. Jersak

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

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 study the QCD vacuum structure under the influence of an electromagnetic field with a nonzero second Lorentz invariant $I_2=\vec{E}\cdot{\vec B}$. We show that the presence of $I_2$ can induce neutral pion ($\pi^0$) condensation in the…

High Energy Physics - Phenomenology · Physics 2016-04-08 Gaoqing Cao , Xu-Guang Huang
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