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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

The quark propagator is calculated in the Nambu-Jona-Lasinio (NJL) model in a self-consistent 1/Nc-expansion at next-to-leading order. The calculations are carried out iteratively in Euclidean space. The chiral quark condensate and its…

High Energy Physics - Phenomenology · Physics 2010-05-24 Daniel Müller , Michael Buballa , Jochen Wambach

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

Previously the quark and meson properties in a many quark system at finite temperature have been studied within effective QCD approaches in the Hartree approximation. In the present paper we consider the influence of the mesonic…

Nuclear Theory · Physics 2008-11-26 D. Blaschke , Yu. L. Kalinovsky , G. Roepke , S. Schmidt , M. K. Volkov

In this paper, a version of the Polyakov-Nambu-Jona-Lasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the Boltzmann-Gibbs (BG)…

High Energy Physics - Phenomenology · Physics 2023-04-19 Ya-Peng Zhao , Chao-Yong Wang , Shu-Yu Zuo , Cheng-Ming Li

A PNJL model is built, in which the Polyakov-loop potential is explicitly Z$_{N_c}$-symmetric in order to mimic a Yang-Mills theory with gauge group SU($N_c$). The physically expected large-$N_c$ and large-$T$ behaviours of the…

High Energy Physics - Phenomenology · Physics 2012-02-02 F. Buisseret , G. Lacroix

The phase structure of the Polyakov loop-extended chiral quark-meson model is explored in a nonperturbative approach, beyond a mean-field approximation, in the presence of a magnetic field. We show that by including meson fluctuations one…

High Energy Physics - Phenomenology · Physics 2013-05-30 V. Skokov

We compare two different possibilities to include meson-loop corrections in the Nambu-Jona-Lasinio model: a strict 1/N_c-expansion in next-to-leading order and a non-perturbative scheme corresponding to a one-meson-loop approximation to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Oertel , M. Buballa , J. Wambach

The nonlocal Polyakov-loop-extended Nambu--Jona-Lasinio (PNJL) model is further improved by including momentum-dependent wave-function renormalization in the quark quasiparticle propagator. Both two- and three-flavor versions of this…

High Energy Physics - Phenomenology · Physics 2011-06-07 Thomas Hell , Kouji Kashiwa , Wolfram Weise

The finite temperature phase transition of strongly interacting matter is studied within a nonlocal chiral quark model of the NJL type coupled to a Polyakov loop. In contrast to previous investigations which were restricted to the…

High Energy Physics - Phenomenology · Physics 2008-12-18 D. Blaschke , M. Buballa , A. E. Radzhabov , M. K. Volkov

We study the finite temperature behavior of light scalar and pseudoscalar meson properties in the context of a three-flavor nonlocal chiral quark model. The model includes mixing with active strangeness degrees of freedom, and takes care of…

High Energy Physics - Phenomenology · Physics 2010-04-06 G. A. Contrera , D. Gomez Dumm , Norberto N. Scoccola

The pion and kaon properties in a nuclear medium at nonvanishing temperature as well as the QCD chiral condensate in the presence of a magnetic field for various baryon densities are studied in the Nambu-Jona-Lasinio (NJL) model with the…

High Energy Physics - Phenomenology · Physics 2022-06-29 Parada T. P. Hutauruk , Seung-il Nam

A simple chiral quark model of the Nambu--Jona-Lasinio (NJL) type with a quark confinement mechanism is constructed for the description of the light meson sector of QCD at finite temperature. Unphysical quark production thresholds in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , G. Burau , M. K. Volkov , V. L. Yudichev

We investigate the chiral restoration and deconfinement phase transitions under external magnetic field in frame of a Pauli-Villars regularized PNJL model. A running Polyakov loop scale parameter $T_0(eB)$ is introduced to mimic the…

High Energy Physics - Phenomenology · Physics 2024-04-09 Shijun Mao

The thermodynamics of a first order chiral phase transition is considered in the presence of spinodal phase separation within the Nambu-Jona-Lasinio (NJL) model. The properties of the basic thermodynamic observables in the coexistence phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional…

High Energy Physics - Theory · Physics 2017-06-06 Prabal Adhikari , Jens O. Andersen

We investigate the thermodynamics of a pion gas within the O(N) model in the 1/N expansion. Using the auxiliary field technique, we compute the effective potential up to the next-to-leading order (NLO) and show that it can be renormalized…

High Energy Physics - Phenomenology · Physics 2009-06-25 Tomas Brauner

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We derive a Nambu--Jona-Lasinio (NJL) model from a non-local gauge theory and show that it has confining properties at low energies. In particular, we present an extended approach to non-local QCD and a complete revision of the technique of…

High Energy Physics - Phenomenology · Physics 2024-04-15 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

We study the $T {-} {\mu}$ phase diagram of quark matter under the influence of a strong uniform magnetic field in the framework of a nonlocal extension of the Polyakov Nambu Jona Lasinio model (PNJL). The existence of a critical end point…

High Energy Physics - Phenomenology · Physics 2023-10-10 J. P. Carlomagno , S. A. Ferraris , D. Gómez Dumm , A. G. Grunfeld