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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

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 evaluate the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. We show that a systematic expansion exists, starting from a given set of exact classical solutions, so that higher order…

High Energy Physics - Phenomenology · Physics 2016-11-24 Marco Frasca

We study the chiral phase transition in the presence of the chiral chemical potential $\mu_5$ using the two-flavor Nambu--Jona-Lasinio model. In particular, we analyze the reason why one can obtain two opposite behaviors of the chiral…

High Energy Physics - Phenomenology · Physics 2016-07-27 Lang Yu , Hao Liu , Mei Huang

In this article we study the nonlocal Nambu--Jona-Lasinio model with a Gaussian regulator in the chiral limit. Finite temperature effects and the presence of a homogeneous magnetic field are considered. The magnetic evolution of the…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. Loewe , F. Marquez , C. Villavicencio , R. Zamora

The real-time formalism at finite temperature and chemical potential for the nonlocal Nambu--Jona-Lasinio model is developed in the presence of a Gaussian covariant regulator. We construct the most general thermal propagator, by means of…

High Energy Physics - Phenomenology · Physics 2011-05-19 M. Loewe , P. Morales , C. Villavicencio

We estimate here chiral susceptibility at finite temperature within the framework of the Nambu-Jona-Lasinio model (NJL) using the Wigner function approach. We also estimate it in the presence of chiral chemical potential ($\mu_5$) as well…

High Energy Physics - Phenomenology · Physics 2019-12-04 Arpan Das , Deepak Kumar , Hiranmaya Mishra

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

We investigate the chiral phase transition at finite temperature and chemical potential within SU(2) and SU(3) Nambu-Jona-Lasinio type models. The behavior of the baryon number susceptibility and the specific heat, in the vicinity of the…

High Energy Physics - Phenomenology · Physics 2009-03-23 C. A de Sousa , Pedro Costa , M. C. Ruivo

We study the solutions of the gap equation, the thermodynamic potential and the chiral susceptibility in and beyond the chiral limit at finite chemical potential in the Nambu--Jona-Lasinio (NJL) model. We give an explicit relation between…

High Energy Physics - Phenomenology · Physics 2017-01-11 Yue Zhao , Lei Chang , Wei Yuan , Yu-xin Liu

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

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

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

In this article we study the finite temperature and chemical potential effects in a nonlocal Nambu-Jona-Lasinio (nNJL) model in the real time formalism. We make the usual Wick rotation to get from imaginary to real time formalism. In doing…

High Energy Physics - Phenomenology · Physics 2013-09-11 M. Loewe , F. Marquez , C. Villavicencio

The properties of the chiral phase transition at finite temperature and chemical potential are investigated within a nonlocal covariant extension of the Nambu-Jona-Lasinio model based on a separable quark-quark interaction. We consider both…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. General , D. Gomez Dumm , N. N. Scoccola

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

We present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)-dimensional Nambu -- Jona-Lasinio model with both non-zero baryon chemical potential (mu_B) and isospin chemical potential…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

We study the influence of external electric, $E$, and magnetic, $B$, fields parallel to each other, and of a chiral chemical potential, $\mu_5$, on the chiral phase transition of Quantum Chromodynamics. Our theoretical framework is a…

High Energy Physics - Phenomenology · Physics 2016-12-14 M. Ruggieri , Z. Y. Lu , G. X. Peng

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional…

High Energy Physics - Theory · Physics 2007-05-23 M. Ishi-i , T. Kashiwa , N. Tanimura

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
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