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For a complete description of the physical properties of low-energy QCD, it might be advantageous to first reformulate QCD in terms of gauge-invariant dynamical variables, before applying any approximation schemes. Using a canonical…

High Energy Physics - Theory · Physics 2013-03-18 Hans-Peter Pavel

We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We discuss the chiral phase diagram in the model. We include the…

High Energy Physics - Phenomenology · Physics 2018-12-21 Ken-Ichi Aoki , Daisuke Sato , Masatoshi Yamada

Generalised Nambu-Jona-Lasinio model for QCD is considered at finite temperatures in the framework of a real-time formalism. The proposed approach allows one to study various properties of the model at T>0, such as chiral symmetry breaking…

High Energy Physics - Phenomenology · Physics 2015-05-13 A. V. Nefediev , J. E. F. T. Ribeiro

We construct an effective low energy Lagrangian of gluodynamics which (i) satisfies all constraints imposed by the Renormalization Group; (ii) is scale and conformally invariant in the limit of vanishing vacuum energy density; (iii) matches…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Kharzeev , E. Levin , K. Tuchin

We report on our analytical study of two-color QCD with an even number of flavors at high baryon density. Based on the pattern of chiral symmetry breaking induced by BCS-type diquark pairing we construct the low-energy effective Lagrangian…

High Energy Physics - Lattice · Physics 2010-11-05 Takuya Kanazawa , Tilo Wettig , Naoki Yamamoto

We compute the QCD equation of state for zero temperature and finite isospin density within the Nambu-Jona-Lasinio model in the mean field approximation, motivated by the recently obtained Lattice QCD results for a new class of compact…

High Energy Physics - Phenomenology · Physics 2019-12-05 Sidney S. Avancini , Aritra Bandyopadhyay , Dyana C. Duarte , Ricardo L. S. Farias

We present a revisited version of the nonextensive QCD-based Nambu - Jona-Lasinio (NJL) model describing the behavior of strongly interacting matter proposed by us some time ago. As before, it is based on the nonextensive generalization of…

Nuclear Theory · Physics 2016-02-17 Jacek Rozynek , Grzegorz Wilk

We consider an extended Nambu--Jona-Lasinio (NJL) model for the light meson sector of QCD where unphysical quark production thresholds are excluded by an infrared cut-off on the momentum integration within quark loop diagrams. This chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , G. Burau , M. K. Volkov , V. L. Yudichev

The systematic approach to study bound states in quantum chromodynamics is presented. The method utilizes nonperturbative flow equations in the confining background, that makes possible to perform perturbative renormalization and to bring…

High Energy Physics - Phenomenology · Physics 2010-12-13 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

An ultraviolet cutoff dependent on the chemical potential as proposed by Casalbuoni {\it et al} is used in the su(3) Nambu-Jona-Lasinio model. The model is applied to the description of stellar quark matter and compact stars. It is shown…

Nuclear Theory · Physics 2014-11-20 C. H. Lenzi , A. S. Schneider , C. Providência , R. M. Marinho

We prove that the Wess-Zumino model breaks supersymmetry in the low-energy limit. The mechanism is identical to the breaking of chiral symmetry in quantum chromodynamics as the low-energy limit is a Nambu-Jona-Lasinio model and the gap…

High Energy Physics - Theory · Physics 2012-11-07 Marco Frasca

The gauged Nambu-Jona-Lasinio model in the quenched-ladder approximation has non-trivial dynamics near a critical scaling region (critical curve) separating a chiral symmetric and a dynamically chiral symmetry broken phase. Scalar and…

High Energy Physics - Theory · Physics 2016-08-25 V. P. Gusynin , M. Reenders

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

We summarize our results for light (pseudo-)scalar mesons at finite chemical potential and vanishing temperature. We extract the meson bound state wave functions, masses, and decay constants up to the first-order phase transition from the…

High Energy Physics - Phenomenology · Physics 2020-11-26 Pascal J. Gunkel , Christian S. Fischer , Philipp Isserstedt

Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. L. S. Farias , G. Dallabona , G. Krein , O. A. Battistel

We analytically study two-color QCD with an even number of flavors at high baryon density. This theory is free from the fermion sign problem. Chiral symmetry is broken spontaneously by the diquark condensate. Based on the symmetry breaking…

High Energy Physics - Phenomenology · Physics 2009-09-25 Takuya Kanazawa , Tilo Wettig , Naoki Yamamoto

In this review paper, I present a study of the structure of the hadrons computed in the covariant Nambu-Jona-Lasinio model as the chiral effective quark theory of QCD. I describe how the NJL model is treated to imitate the spontaneous…

High Energy Physics - Phenomenology · Physics 2026-04-14 Parada T. P. Hutauruk

The system of second-order equations of mean-field expansion is considered for Nambu--Jona-Lasinio model with chiral symmetry of SU(2)-group. The system includes equations for four-particle and three-particle functions and also equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

We represent QCD at the hadronic scale by means of an effective Hamiltonian, H, formulated in the Coulomb gauge. As in the Nambu-Jona-Lasinio model, chiral symmetry is dynamically broken, however our approach is renormalizable and also…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen R. Cotanch , Felipe J. Llanes-Estrada