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We use a three-flavor Nambu--Jona-Lasinio model to study the thermodynamics of strange quark matter under a strong magnetic field. The model Lagrangian features flavor SU(3) four-quark interactions and six-quark interactions that break the…

High Energy Physics - Phenomenology · Physics 2021-11-11 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini , Varese S. Timóteo , Marcus B. Pinto , Gastão Krein

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

Higher-order repulsive interactions are included in the three-flavor NJL model in order to describe the quark phase of an hybrid star. The effect of 4-quark and 8-quark vector-isoscalar interactions in the stability of hybrid star…

Nuclear Theory · Physics 2020-11-04 Márcio Ferreira , Renan Câmara Pereira , Constança Providência

The effective quark interactions that break explicitly the chiral SU(3)_L X SU(3)_R and U_A(1) symmetries by current-quark mass source terms are considered in NLO in $N_c$ counting. They are of the same order as the 't Hooft flavor…

High Energy Physics - Phenomenology · Physics 2014-11-11 A. A. Osipov , B. Hiller , A. H. Blin

Using the Nambu-Jona-Lasinio model to describe the nucleon as a quark-diquark state, we discuss the stability of nuclear matter in a hybrid model for the ground state at finite nucleon density. It is shown that a simple extension of the…

Nuclear Theory · Physics 2010-02-17 W. Bentz , A. W. Thomas

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

The soliton formation is considered in the Nambu-Jona-Lasinio model with local four quark interaction and various schemes to regularize the energy contribution of the polarized vacuum. No additional constraints are admitted in order to…

Nuclear Theory · Physics 2009-10-31 J. Providencia , H. Walliser , H. Weigel

The extension of the Nambu-Jona-Lasino Model with six and eight quark interactions to include the Polyakov loop is analysed. Several interesting features are determined to be an effect of the choice of the regularization procedure. The use…

High Energy Physics - Phenomenology · Physics 2015-05-20 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

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 vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this…

High Energy Physics - Phenomenology · Physics 2020-12-30 R. M. Aguirre

We extend a known multi-quark three-flavor Lagrangian of the Nambu-Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses, to include the multi-quark interactions of vector and…

High Energy Physics - Phenomenology · Physics 2017-05-03 Jorge Morais , Brigitte Hiller , Alexander A. Osipov

We study a lattice Nambu-Jona-Lasinio model with SU(2) and SU(3) flavor symmetries of staggered fermions in the Kogut-Susskind Hamiltonian formalism. This type of four-fermion interactions has been widely used for describing low-energy…

Mathematical Physics · Physics 2024-10-16 Yukimi Goto , Tohru Koma

We study the phase diagram of dense, locally neutral three-flavor quark matter within the framework of the Nambu--Jona-Lasinio model. In the analysis, dynamically generated quark masses are taken into account self-consistently. The phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan B. Ruester , Verena Werth , Michael Buballa , Igor A. Shovkovy , Dirk H. Rischke

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

We study the stability of pentaquarks within a schematic model based on SU(3) color symmetry, by taking into account algebraic arguments leading to a chromoelectric interaction containing two- and three-body parts. It has already been…

High Energy Physics - Phenomenology · Physics 2017-07-19 Fl. Stancu

We propose an extended Nambu--Jona-Lasinio model to include the heavy mesons with the heavy quark symmetry. The quark current-current interaction is generalized to include the heavy quark currents. In order to comply with the heavy quark…

High Energy Physics - Phenomenology · Physics 2012-05-03 Xiao-Yu Guo , Xiao-Lin Chen , Wei-Zhen Deng

An ultraviolet cutoff dependent on the chemical potential as proposed by Casalbuoni {\it et al} is used in the su(3) Nambu-Jona-Lasinio model. The model is applied to the description of stellar quark matter and compact stars. It is shown…

Nuclear Theory · Physics 2014-11-20 C. H. Lenzi , A. S. Schneider , C. Providência , R. M. Marinho

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 't Hooft six quark flavor mixing interaction (N_f=3) is bosonized by the path integral method. The considered complete Lagrangian is constructed on the basis of the combined 't Hooft and U(3)X U(3) extended chiral four fermion Nambu --…

High Energy Physics - Phenomenology · Physics 2007-05-23 Brigitte Hiller , Alexander A. Osipov