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We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-$N$ Nambu-Jona-Lasinio model. We take into account size-dependent…

High Energy Physics - Theory · Physics 2011-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger…

High Energy Physics - Theory · Physics 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Dynamical Symmetry breaking and meson masses are studied in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential using the dimensional regularization. Since the model is not renormalizable in four space-time…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Inagaki , D. Kimura , A. Kvinikhidze

We study the 2-flavor Nambu--Jona-Lasinio (NJL) model at finite temperature, $T$, and chemical potential, $\mu$, in the dimensional regularization. The pion and sigma meson masses are calculated at finite $T$ and $\mu$. The color…

High Energy Physics - Phenomenology · Physics 2009-01-14 T. Fujihara , T. Inagaki , D. Kimura , A. Kvinikhidze

Two flavor Nambu-Jona-Lasinio model with N components is studied in curved space time at finite temperature and density in the leading 1/N expansion. In four space time dimension the model exhibits first order phase transition for positive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ashok Goyal , Meenu Dahiya

Nambu-Jona-Lasinio-type models are frequently employed as low-energy models in various research fields. With respect to the theory of the strong interaction, this class of models is indeed often used to analyze the structure of the phase…

High Energy Physics - Phenomenology · Physics 2018-01-26 Jens Braun , Marc Leonhardt , Martin Pospiech

In this work we analyze the finite-volume and magnetic effects on the phase structure of a generalized version of Nambu--Jona-Lasinio model with three quark flavors. By making use of mean-field approximation and Schwinger's proper-time…

High Energy Physics - Phenomenology · Physics 2019-04-09 L. M. Abreu , E. B. S. Corrêa , C. A. Linhares , A. P. C. Malbouisson

We discuss the finite-size effects on the chiral phase transition in QCD. We employ the Nambu-Jona-Lasinio model and calculate the thermodynamic potential in the mean-field approximation. Finite-size effects on the thermodynamic potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Kiriyama , T. Kodama , T. Koide

We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

The properties of two-flavored massless Nambu-Jona-Lasinio model in (1+1)-dimensional $R^1\times S^1$ spacetime with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials $\mu_I$,…

High Energy Physics - Phenomenology · Physics 2015-05-28 D. Ebert , T. G. Khunjua , K. G. Klimenko , V. Ch. Zhukovsky

We investigate phase structure of the D (> 4)-dimensional gauged Nambu-Jona-Lasinio (NJL) model with $\delta(=D-4)$ extra dimensions compactified on TeV scale, based on the improved ladder Schwinger-Dyson (SD) equation in the bulk. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Valery P. Gusynin , Michio Hashimoto , Masaharu Tanabashi , Koichi Yamawaki

We decribe properties of 2+1-dimensional Nambu-Jona-Lasinio (NJL) models at finite-temperature, beginning with the model with a discrete chiral symmetry. We then consider the model with a continuous $U(1) \times U(1)$ chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Appelquist , Myck Schwetz

Along with masses of pion and sigma meson modes, their dissociation into quark medium provide a detail spectral structures of the chiral partners. Present article has studied a finite size effect on that detail structure of chiral partners…

Nuclear Theory · Physics 2022-03-25 Paramita Deb , Sabyasachi Ghosh , Jai Prakash , Santosh Kumar Das , Raghava Varma

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

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

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic…

High Energy Physics - Phenomenology · Physics 2020-02-19 Zheng Zhang , Chao Shi , Hongshi Zong

Recent years have seen extensive applications of the Nambu--Jona-Lasinio (NJL) model in the study of matter at high density. There is a good deal of interest in the predictions of diquark condensation and color superconductivity, with…

High Energy Physics - Phenomenology · Physics 2010-11-15 Hu Li , C. M. Shakin

We present a lattice study of a Nambu Jona-Lasinio (NJL) model using Wilson fermions. Four fermion interactions are a natural part of several extensions of the Standard Model, appearing as a low energy description of a more fundamental…

High Energy Physics - Lattice · Physics 2017-02-08 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino

We review the Nambu-Jona-Lasinio model (NJL), proposed long time ago, as a four-fermion interaction theory with chiral symmetry. The theory is not renormalizable and presents a symmetry breaking due to quantum corrections which depends on…

General Relativity and Quantum Cosmology · Physics 2015-11-20 Leonardo Quintanar G. , Axel de la Macorra

We investigate the impact of non-Hermiticity on the thermodynamic properties of interacting fermions by examining bilinear extensions to the $3+1$ dimensional $SU(2)$-symmetric Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics at…

High Energy Physics - Phenomenology · Physics 2025-10-23 Alexander Felski , Alireza Beygi , S. P. Klevansky
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