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We investigate the rapid rise of the dressed Polyakov loop in the Nambu--Jona-Lasinio (NJL) model as a function of temperature. In QCD such a behaviour is interpreted as a confinement- deconfinement phase transition. However, we demonstrate…

High Energy Physics - Phenomenology · Physics 2015-06-16 Sanjin Benić

We explore the inhomogeneous QCD phases at finite density and temperature using a (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model in the large Nc limit with an additional attractive tensor-tensor interaction channel. For single modulated…

Nuclear Theory · Physics 2013-04-04 Bo Feng , Efrain J. Ferrer , Vivian de la Incera

The properties of magnetized color superconducting cold dense quark matter under compact star conditions are investigated using a $SU(2)_f$ Nambu Jona-Lasinio (NJL)-type model in which the divergences are treated using a magnetic field…

High Energy Physics - Phenomenology · Physics 2019-08-29 M. Coppola , P. Allen , A. G. Grunfeld , N. N. Scoccola

Lately, it has been suggested that strange (quark) stars can be responsible for glitches and other observational features of pulsars. Some discussions on whether quark stars, if really exist, are bare or crusted are also a source of…

Astrophysics · Physics 2009-11-13 D. P. Menezes , C. Providencia , D. B. Melrose

We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and…

High Energy Physics - Phenomenology · Physics 2015-10-19 Ya Lu , Yi-Lun Du , Zhu-Fang Cui , Hong-Shi Zong

We study the two flavour non-local Nambu\textemdash Jona-Lasinio (NJL) model in the presence of a magnetic field and explore the chiral crossover in presence of a non-local form of the 't Hooft determinant term. Its coupling is governed by…

High Energy Physics - Phenomenology · Physics 2021-12-21 Mahammad Sabir Ali , Chowdhury Aminul Islam , Rishi Sharma

As an elaboration of the analytic approach to Quantum Chromodynamics (QCD), a new model for the QCD analytic running coupling is proposed. A self-evident advantage of the new analytic running coupling (NARC) is that it incorporates the…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Nesterenko

The present work generalizes a nonlocal version of the Polyakov loop-extended Nambu and Jona-Lasinio (PNJL) model to the case of three active quark flavors, with inclusion of the axial U(1) anomaly. Gluon dynamics is incorporated through a…

High Energy Physics - Phenomenology · Physics 2010-06-15 T. Hell , S. Rößner , M. Cristoforetti , W. Weise

The effects of meson fluctuations are studied in a nonlocal generalization of the Nambu-Jona-Lasinio model, by including terms of next-to-leading order (NLO) in 1/N_c. In the model with only scalar and pseudoscalar interactions NLO…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert S. Plant , Michael C. Birse

Within the two-flavor Nambu--Jona-Lasinio model, we derive a self-consistent thermodynamic potential $\Omega$ for a QCD matter in an external magnetic field $B$. To be consistent with Schwinger's renormalization spirit, counter terms with…

High Energy Physics - Phenomenology · Physics 2023-05-24 Gaoqing Cao , Jianing Li

Non-perturbative renormalizability, or non-triviality, of the gauged Nambu-Jona-Lasinio (NJL) model in four dimensions is examined by using non-perturbative (exact) renormalization group in large $N_c$ limit. When running of the gauge…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Kubota , Haruhiko Terao

We show that the nonlocal two-flavor Nambu--Jona-Lasinio model predicts the enhancement of both chiral and axial symmetry breaking as the chiral imbalance of hot QCD matter, regulated by a chiral chemical potential $\mu_5$, increases. The…

High Energy Physics - Phenomenology · Physics 2020-07-22 Marco Ruggieri , Maxim N. Chernodub , Zhen-Yan Lu

We study the QCD phase structure in the three-flavor Nambu-Jona-Lasinio model, incorporating the interplay between the chiral and diquark condensates induced by the axial anomaly. We demonstrate that for an appropriate range of parameters…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

We consider the NJL model as an effective quark theory to describe the interaction which is responsible for the quark flavor dynamics at intermediate energies. In addition to the usual ultraviolet cut-off which is necessary since the model…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , H. Reinhardt

We show how a scheme of rewriting a divergent momentum integral can conciliate results obtained with the Nambu--Jona-Lasinio model and recent lattice results for the chiral transition in the presence of a chiral imbalance in quark matter.…

High Energy Physics - Phenomenology · Physics 2016-10-10 R. L. S. Farias , Dyana C. Duarte , Gastão Krein , Rudnei O. Ramos

The self-energy of quarks is investigated for various models which are inspired by the Nambu--Jona-Lasinio (NJL) model. Including, beyond the Hartree-Fock approximation, terms up to second-order in the quark interaction, the real and…

Nuclear Theory · Physics 2009-10-22 P. P. Domitrovich , H. Müther

The Nambu--Jona-Lasinio model with two flavors, three colors and diquark interactions is analyzed in the context of optimized perturbation theory (OPT). Corrections to the thermodynamical potential that go beyond the large-$N_c$ (LN)…

High Energy Physics - Phenomenology · Physics 2023-05-05 Dyana C. Duarte , R. L. S. Farias , Patrícia H. A. Manso , Rudnei O. Ramos

We reinvestigate the conditions for stable matter solutions in the Nambu--Jona-Lasinio (NJL) model. In mean field approximation the NJL model can be regarded as an extension of the Walecka mean field model to include negative energy fermion…

Nuclear Theory · Physics 2009-10-30 Michael Buballa

In a Nambu-Jona-Lasinio model supplemented with an infrared cutoff in addition to the ultraviolet cutoff we study the issue whether diquarks are confined when the model is extended beyond the rainbow-ladder approximation. The gap equation,…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Hellstern , R. Alkofer , H. Reinhardt

Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the (3+1)-dimensional Nambu--Jona-Lasinio model (NJL) in the large-$N_c$ limit ($N_c$ is the number of quark colors). Its phase structure is…

High Energy Physics - Phenomenology · Physics 2019-03-27 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov