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Related papers: Extended NJL model with eight-quark interactions

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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

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

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

In this workshop we have presented the results obtained in the three-flavour ($N_f=3$) Nambu--Jona-Lasinio model Lagrangian which includes all non-derivative vertices at NLO in the $1/N_c$ expansion of spin zero multi-quark interactions. In…

High Energy Physics - Phenomenology · Physics 2014-10-07 A. A. Osipov , B. Hiller , A. H. Blin

The necessity of adding higher order multiquark interactions to the three flavor NJL model with $U_A(1)$ breaking, in order to stabilize its vacuum, is discussed.

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Hiller , A. A. Osipov , A. H. Blin , J. da Providencia

The flavor-dependent quark-antiquark contact interactions, induced by vacuum polarization and recently derived for flavor U(3) Nambu-Jona-Lasinio model, are articulated with the resulting mixing effects emerging from flavor symmetry…

High Energy Physics - Phenomenology · Physics 2025-08-11 F. L. Braghin

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

The six-quark instanton induced 't Hooft interaction is considered in combination with the Nambu-Jona-Lasinio (NJL) type U_L(3)X U_R(3) chiral symmetric Lagrangian. We discuss the bosonization of this multi-quark interaction, taking the…

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

We introduce a two flavor Nambu--Jona-Lasinio (NJL) model with 8-quark interactions in the scalar and the vector channel. With the lower density region described by the density-dependent relativistic mean field model we construct a hybrid…

Nuclear Theory · Physics 2015-04-01 Sanjin Benić

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

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

We investigate the factorization hypothesis of the four-quark condensate $\langle q \bar{q} q \bar{q} \rangle = \, A \, \langle q \bar{q} \rangle^2$ with the help of the Nambu Jona-Lasinio Model supplemented with eighth order interactions.…

High Energy Physics - Phenomenology · Physics 2015-04-16 Fabio L. Braghin , Fernando S. Navarra

The possible existence of non-uniform phases in cold dense quark matter in the light quark sector ($u$, $d$ and $s$) is addressed using the Nambu-Jona--Lasinio Model extended to include flavour-mixing 't Hooft determinant. The effect of…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. Moreira , B. Hiller , W. Broniowski , A. A. Osipov , A. H. Blin

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

A non-perturbative one gluon exchange quark-antiquark interaction is considered to compute flavor dependent U(3) Nambu-Jona-Lasinio (NJL)-type interaction of the form $G_{ij, \Gamma} (\bar{\psi} \lambda_i \Gamma \psi ) ( \bar{\psi}…

High Energy Physics - Phenomenology · Physics 2021-06-02 Fabio L. Braghin

The phase diagram at finite temperature and chemical potential for the Polyakov-NJL model with eight quark interactions is reviewed for the SU(3) flavor case.

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

We present the bulk thermodynamic properties and phase diagram of strongly interacting matter in an extension of the 3-flavor NJL and PNJL models of QCD. Using a three momentum cut-off scheme, we have extended the multiquark interaction…

High Energy Physics - Phenomenology · Physics 2014-11-20 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Rajarshi Ray

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

Nambu-Jona-Lasinio-type models are often employed as low-energy models for the theory of the strong interaction to analyze its phase structure at finite temperature and quark chemical potential. In particular at low temperature and large…

High Energy Physics - Phenomenology · Physics 2018-05-02 Jens Braun , Marc Leonhardt , Martin Pospiech

We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu--Jona-Lasinio model with eight-quark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Paramita Deb , Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Anirban Lahiri
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