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We investigate quark matter at finite temperature and finite chemical potential as an example for a relativistic many-particle quantum system. Special relativity is realized through the front form that allows for a Hamiltonian formulation…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Beyer , S. Mattiello , T. Frederico , H. J. Weber

We derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature…

High Energy Physics - Phenomenology · Physics 2015-03-19 Marco Frasca

On the level of an effective quark theory, we define confinement by the absence of quark anti-quark thresholds in correlation functions. We then propose a confining Nambu-Jona-Lasinio-type model. The confinement is implemented in analogy to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kurt Langfeld , Mannque Rho

We generalize a non-local Nambu-Jona-Lasinio model to a generic representation of the gauge group. The critical temperature is given in a closed form as a function of the parameters of the theory and the cut-off. This result is generally…

High Energy Physics - Phenomenology · Physics 2012-01-31 Marco Frasca

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way…

High Energy Physics - Phenomenology · Physics 2016-11-23 M. Ruggieri , G. X. Peng

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 investigate the properties of $qq$ and $q\bar q$ states in hot and dense quark matter in the framework of light-front finite temperature field theory. Presently we use the Nambu Jona-Lasinio model of QCD and derive the gap equation at…

Nuclear Theory · Physics 2014-11-18 S. Strauß , M. Beyer , S. Mattiello

In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these…

Nuclear Theory · Physics 2017-07-26 M. Abu-Shady

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

We investigate the phase diagram of strongly interacting matter as a function of temperature and baryonic density/chemical potential, within Nambu--Jona-Lasinio type models. We perform a systematic study concerning the existence, location,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pedro Costa , M. C. Ruivo , C. A. de Sousa

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 are able to show, in the low-energy limit of quantum chromodynamics, that the theory has a critical point. In this limit, QCD becomes a non-local Nambu-Jona-Lasinio model. The critical temperature is also obtained in agreement with…

High Energy Physics - Phenomenology · Physics 2012-01-26 Marco Frasca

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 three-colour QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to the chiral condensate and to a…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ratti , M. A. Thaler , W. Weise

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

We investigate the properties of hot and/or dense matter in QCD-like theories with quarks in a (pseudo)real representation of the gauge group using the Nambu-Jona-Lasinio model. The gauge dynamics is modeled using a simple lattice spin…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tian Zhang , Tomas Brauner , Dirk H. Rischke

Thermodynamic properties of strongly interacting matter are investigated using the Polyakov loop enhanced Nambu$-$Jona-Lasinio model along with some modifications to include the hadrons. Various observables are shown to have a close…

High Energy Physics - Phenomenology · Physics 2020-10-21 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

We derive the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. So, we are able to fix the constants of the Nambu-Jona-Lasinio model from quantum chromodynamics and analyze the behavior…

High Energy Physics - Phenomenology · Physics 2017-03-21 Marco Frasca

Chemically non-equilibrated quark-antiquark matter is studied within the Nambu-Jona-Lasinio model. The equations of state of non-strange (q=u,d) and strange (q=s) quark-antiquark systems are calculated in the mean-field approximation. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

Recent developments in finite-temperature QCD with dynamical quarks are reviewed focusing on the topics of critical temperature, the equation of state, and critical behaviors around the chiral phase transition.

High Energy Physics - Lattice · Physics 2009-10-31 Shinji Ejiri
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