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The thermodynamic potential and thermal dependence of low lying mass spectra of scalars and pseudoscalars are evaluated in a generalized Nambu -- Jona-Lasinio model, which incorporates eight-quark interactions. These are necessary to…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

In this talk attention is drawn to thermal properties due to the addition of eight quark interactions in the standard $SU(3)\times SU(3)$ chiral Nambu-Jona-Lasinio model (NJL) with 't Hooft interaction (NJLH). The schematic SU(3) flavor…

High Energy Physics - Phenomenology · Physics 2009-10-14 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

A NJL Lagrangian extended to six and eight quark interactions is applied to study temperature effects (SU(3) flavor limit, massless case), and (realistic massive case). The transition temperature can be considerably reduced as compared to…

High Energy Physics - Phenomenology · Physics 2011-07-26 J. Moreira , A. A. Osipov , B. Hiller , A. H. Blin , J. Providencia

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2010-07-02 B. Hiller , J. Moreira , A. A. Osipov , A. H. Blin

It is shown that $U(3)_L\times U(3)_R$ eight-quark interactions stabilize the asymmetric ground state of the well-known model with four-quark Nambu -- Jona-Lasinio and six-quark 't Hooft interactions. The result remains when the reduced…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander A. Osipov , Brigitte Hiller , Joao da Providencia

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2015-05-18 J. Moreira , B. Hiller , A. A. Osipov , A. H. Blin

The influence of a constant magnetic field on the order parameter of the four-dimensional Nambu and Jona-Lasinio model extended by the 't Hooft six-quark term and eight-quark interactions is considered. It is shown that the multi-quark…

High Energy Physics - Phenomenology · Physics 2009-10-14 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

This work is a follow-up of our recent observation that in the SU(3) flavor limit with vanishing current quark masses the temperature for the chiral transition is substantially reduced by adding eight-quark interactions to the Nambu -…

High Energy Physics - Phenomenology · Physics 2008-01-03 A. A. Osipov , B. Hiller , J. Moreira , A. H. Blin

The combined effective low energy QCD Lagrangians of Nambu -- Jona-Lasinio (NJL) and 't Hooft are supplemented with eight-quark interactions. This work is a follow-up of recent findings, namely (i) the six quark flavour determinant 't Hooft…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin , Joao da Providencia

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

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

The combined effect of the repulsive vector interaction and the positive electric chemical potential on the chiral phase transition is investigated by considering neutral color superconductivity. Under the charge-neutrality constraint, the…

High Energy Physics - Phenomenology · Physics 2011-01-20 Zhao Zhang , Teiji Kunihiro

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 study the dynamical chiral symmetry breaking/restoration for the various numbers of light quarks flavors $N_f$ and colors $N_c$, using the Nambu-Jona-Lasinio (NJL) model of quarks, dressed with a color-flavor dependence of effective…

High Energy Physics - Phenomenology · Physics 2022-08-03 Aftab Ahmad , Ali Murad

We review the effect on vacuum properties and magnetic catalysis, of adding the most general 0-spin 8-quark (8q) interactions to the combined SU(3) flavor Nambu--Jona-Lasinio (NJL) and 6-quark (6q) 't Hooft interaction Lagrangian.

High Energy Physics - Phenomenology · Physics 2012-04-24 B. Hiller , A. A. Osipov , A. H. Blin , J. Providencia

We suggest and discuss in detail a multi-quark three flavor Lagrangian of the Nambu -- Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses. It is shown that within the dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-11-04 A. A. Osipov , B. Hiller , A. H. Blin

We investigate the effect of the electric-charge neutrality in $\beta$ equilibrium on the chiral phase transition by solving the chiral and diquark condensates in the two-flavor Nambu--Jona-Lasinio model. We demonstrate that the…

High Energy Physics - Phenomenology · Physics 2009-01-16 Zhao Zhang , Kenji Fukushima , Teiji Kunihiro

Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

We try to find the relation between the three-flavor Nambu-Jona-Lasinio model and QCD based on the hypothesis that the gluon momenta are sharply condensed around the QCD scale, \mu_g. We find that the effective four- and six-fermion…

High Energy Physics - Phenomenology · Physics 2016-03-01 Hiroaki Kohyama

Low energy hadron phenomenology involving the (u,d,s) quarks is often approached through effective multi-quark Lagrangians with the symmetries of QCD. A very successful approach consists in taking the four-quark Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Veronique Bernard , Alex H. Blin
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