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In this work, we extend the two-flavor Nambu--Jona-Lasinio model to one capable of exploring quark and nuclear matter consistently. With an extra term standing for quark-nucleon interactions, nucleons could automatically emerge as…

Nuclear Theory · Physics 2024-12-03 Gaoqing Cao

The chiral symmetry is explicitly and spontaneously broken in a strongly interacting massive fermionic system. We study the chiral symmetry restoration in massive four-fermion interaction models with increasing temperature and chemical…

High Energy Physics - Phenomenology · Physics 2023-06-02 Tomohiro Inagaki , Daiji Kimura , Hiromu Shimoji

The responses of quark condensates to the chemical potential, as a function of temperature T and chemical potential \mu, are calculated within the Nambu--Jona-Lasinio (NJL) model. We compare our results with those from the recent lattice…

High Energy Physics - Lattice · Physics 2011-04-20 O. Miyamura , S. Choe , Y. Liu , T. Takaishi , A. Nakamura

The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is…

High Energy Physics - Phenomenology · Physics 2022-12-06 Alexander M. Czajka , Zhong-Bo Kang , Henry Ma , Fanyi Zhao

We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

We investigate the phase structure of the Nambu--Jona-Lasinio model at zero temperature, allowing for a two-dimensional spatial dependence of the chiral condensate. Applying the mean-field approximation, we consider various periodic…

High Energy Physics - Phenomenology · Physics 2015-06-04 Stefano Carignano , Michael Buballa

Based on the Cornwall-Jackiw-Tomboulis effective potential, we extensively study nonperturbative renormalization of the gauged Nambu-Jona-Lasinio model in the ladder approximation with standing gauge coupling. Although the pure…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kei-ichi Kondo , Masaharu Tanabashi , Koichi Yamawaki

The Nambu--Jona-Lasinio (NJL) model involves a pointlike 4-fermion interaction. While it gives a useful description of chiral dynamics (mainly in QCD), it nonetheless omits the crucially important internal wave-function of a two-body bound…

High Energy Physics - Phenomenology · Physics 2025-05-16 Christopher T. Hill

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark…

Nuclear Theory · Physics 2010-12-23 Lorenzo Ferroni , Volker Koch , Marcus B. Pinto

In this paper, we use the two-flavor Nambu-Jona-Lasinio (NJL) model with the proper time regularization to study the finite-volume effects of QCD chiral phase transition. Within a cubic volume of finite size $L$, we choose the stationary…

High Energy Physics - Phenomenology · Physics 2018-02-05 Qing-Wu Wang , Yonghui Xia , Hong-Shi Zong

We present extensive studies on hot and dense quark matter with two light and one heavy flavors in the Nambu--Jona-Lasinio model with the Polyakov loop (so-called PNJL model). First we discuss prescription dependence in choosing the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Kenji Fukushima

Chiral phase properties of finite size hadronic systems are investigated within the Nambu--Jona-Lasinio model. Finite size effects are taken into account by making use of the multiple reflection expansion. We find that, for droplets with…

High Energy Physics - Phenomenology · Physics 2009-11-07 O. Kiriyama , A. Hosaka

In recent years light-front quantisation has been extended to allow for a consistent treatment of systems at finite temperature and density. This is in particular interesting for an investigation of the processes in nuclear matter under…

High Energy Physics - Phenomenology · Physics 2009-07-22 S. Strauss , S. Mattiello , M. Beyer

We have studied the phenomenology of pion condensation in 2-flavor neutral quark matter at finite density with Nambu--Jona-Lasinio (NJL) model of QCD. We have discussed the role of the bare quark mass $m$ and the electric chemical potential…

High Energy Physics - Phenomenology · Physics 2010-11-02 R. Anglani

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 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

It is shown that in the Nambu -- Jona - Lasinio model at nonzero chemical potential there are two different massive phases with spontaneously broken chiral symmetry. In one of them particle density is identically zero, in another phase it…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Klimenko , A. S. Vshivtsev

The Nambu--Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we…

High Energy Physics - Phenomenology · Physics 2023-06-13 Arthur E. B. Pasqualotto , Ricardo L. S. Farias , William R. Tavares , Sidney S. Avancini , Gastão Krein

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

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio model at finite temperature and non-zero chemical potential with three quark flavors. Chiral and deconfinement phase transitions are discussed and the relevant…

High Energy Physics - Phenomenology · Physics 2014-11-21 Pedro Costa , M. C. Ruivo , C. A. de Sousa , H. Hansen