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We show that the chiral symmetry breaking occurs in the vacuum of the massless Nambu-Jona-Lasinio (NJL) and Thirring models without a Goldstone boson. The basic reason of non-existence of the massless boson is due to the fact that the new…

High Energy Physics - Theory · Physics 2007-05-23 Makoto Hiramoto , Takehisa Fujita

Chiral symmetry is restored at high density, quarks become nearly massless and pion, the Goldstone of the symmetry breaking decouples from the quarks. What happens at high density is important for finding the density dependence of Strange…

High Energy Physics - Phenomenology · Physics 2014-11-18 Manjari Bagchi , Monika Sinha , Mira Dey , Jishnu Dey

We study a chiral quark model of $\pi$, $\sigma$, $\rho$, and $a_1$ mesons in the large-$N_c$ limit. We show that the quadratic $a_1-\pi$ mixing can be set to zero at zero momentum, thus protecting the $g_{\sigma\pi\pi}$ and…

High Energy Physics - Phenomenology · Physics 2014-03-14 Roshan Foadi

We construct a chiral Lagrangian containing besides the usual pion field (pi) also its first radial excitation (pi'). The Lagrangian is derived by bosonization of a Nambu--Jona-Lasinio quark model with separable non-local interactions, with…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. K. Volkov , C. Weiss

In this paper, we discuss a decoupling of the Goldstone bosons from highly excited hadrons in relation to the restoration of chiral symmetry in such hadrons. We use a generalised Nambu-Jona-Lasinio model with the interaction between quarks…

High Energy Physics - Phenomenology · Physics 2009-11-11 L. Ya. Glozman , A. V. Nefediev

Pseudo-Goldstone modes appear in many physical systems and display robust universal features. First, their mass $m$ obeys the so-called Gell-Mann-Oakes-Renner (GMOR) relation $f^2\,m^2=H\,\bar{\sigma}$, with $f$ the Goldstone stiffness, $H$…

High Energy Physics - Phenomenology · Physics 2022-12-26 Xuanmin Cao , Matteo Baggioli , Hui Liu , Danning Li

The phase structure of dense quark matter in the two color case has been investigated with nonzero baryon $\mu_B$, isospin $\mu_I$ and chiral isospin $\mu_{I5}$ chemical potentials. %in the framework of Nambu--Jona-Lasinio model with…

High Energy Physics - Phenomenology · Physics 2022-06-01 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat…

High Energy Physics - Phenomenology · Physics 2011-07-06 Marco Frasca , Marco Ruggieri

The properties of two-flavored massive Nambu--Jona-Lasinio model in (1+1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-$N_c$ limit, where…

High Energy Physics - Phenomenology · Physics 2013-05-30 N. V. Gubina , K. G. Klimenko , S. G. Kurbanov , V. Ch. Zhukovsky

The charge form factor and weak decay constant of the pion as well as the pion-quark coupling constant in symmetric nuclear matter are explored in the framework of the Nambu--Jona-Lasinio model, where the pion is described as a bound state…

Nuclear Theory · Physics 2019-01-16 Parada T. P. Hutauruk , Yongseok Oh , K. Tsushima

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

Using the strong coupling expansion of the compact and non-compact U(1) lattice gauge theory for monolayer graphene, we show analytically that fermion bandgap and pseudo Nambu--Goldstone exciton (pi-exciton) are dynamically generated due to…

Strongly Correlated Electrons · Physics 2015-03-13 Yasufumi Araki , Tetsuo Hatsuda

We discuss the chiral symmetry breaking in general intersecting Dq/Dp brane models consisting of N_c Dq-branes and a single Dp-brane with an s-dimensional intersection. There exists a QCD-like theory localized at the intersection and the…

High Energy Physics - Theory · Physics 2008-11-26 Norio Horigome , Madoka Nishimura , Yoshiaki Tanii

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu-Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behaviour of the…

High Energy Physics - Theory · Physics 2009-09-17 B. Geyer , S. D. Odintsov

The pion and kaon properties in a nuclear medium at nonvanishing temperature as well as the QCD chiral condensate in the presence of a magnetic field for various baryon densities are studied in the Nambu-Jona-Lasinio (NJL) model with the…

High Energy Physics - Phenomenology · Physics 2022-06-29 Parada T. P. Hutauruk , Seung-il Nam

We study the inhomogeneous phase of a two-flavor quark matter under rotation at finite temperature and density using the Nambu-Jona-Lasinio model. To do this, we consider the chiral broken phase, in particular, described by the so-called…

Nuclear Theory · Physics 2023-12-12 S. M. A. Tabatabaee

Modifications of baryon properties due to the restoration of the chiral symmetry in an external hot and dense baryon medium are investigated in an effective chiral quark-meson theory. The nucleon arises as a soliton of the Gell-Mann -…

High Energy Physics - Phenomenology · Physics 2009-10-22 Chr. V. Christov , E. Ruiz Arriola , K. Goeke

It has been shown in [32,33] in the framework of Nambu--Jona-Lasinio model with the assumption of spatially homogeneous condensates that in the large-$N_{c}$ limit ($N_{c}$ is the number of quark colours) there exist three dual symmetries…

High Energy Physics - Phenomenology · Physics 2019-06-26 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

A simple chiral quark model of the Nambu--Jona-Lasinio (NJL) type with a quark confinement mechanism is constructed for the description of the light meson sector of QCD at finite temperature. Unphysical quark production thresholds in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , G. Burau , M. K. Volkov , V. L. Yudichev

In this paper the phase structure of dense baryon matter composed of $u$ and $d$ quarks with two colors has been investigated in the presence of baryon $\mu_B$, isospin $\mu_I$ and chiral isospin $\mu_{I5}$ chemical potentials in the…

High Energy Physics - Phenomenology · Physics 2020-07-15 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov