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The solitonic sector of the Nambu - Jona-Lasinio model with baryon number one is solved in the presence of an external medium. The calculations fully include the polarization of both the Dirac sea and the medium as well as the Pauli…

High Energy Physics - Phenomenology · Physics 2009-10-22 Chr. V. Christov , K. Goeke

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

The main results of our analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions are presented. Large $N$ techniques and…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. Vranas

The Nambu--Jona-Lasino model is modified by the inclusion of a running-coupling that was obtained by a fractal approach to Quantum Chromodynamics. The coupling follows a $q$-exponential function and, in the context of high energy…

High Energy Physics - Phenomenology · Physics 2024-12-17 E. Megias , M. J. Teixeira , V. S. Timóteo , A. Deppman

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

A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based on momentum cutoff. We use the conditions of gauge invariance or equivalently the freedom of shift of the loop momentum to define the…

High Energy Physics - Phenomenology · Physics 2015-09-25 G. Cynolter , E. Lendvai

We construct the Lagrangian of the ${\cal N}=1$ four-dimensional generalized supersymmetric Nambu$-$Jona-Lasinio (SNJL) model, which has ${\cal N}=1/2$ supersymmetry (SUSY) on non(anti)commutative superspace. A special attention is paid to…

High Energy Physics - Theory · Physics 2008-11-26 Tadafumi Ohsaku

We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative supersymmetry algebra acting on the component fields and…

High Energy Physics - Theory · Physics 2009-02-12 I. Jack , D. R. T. Jones , R. Purdy

In this paper, we conduct a thorough investigation of the surface and curvature tensions, $\sigma$ and $\gamma$, of three-flavor cold quark matter using the Nambu-Jona-Lasinio (NJL) model with vector interactions. Our approach ensures both…

Nuclear Theory · Physics 2024-07-09 A. G. Grunfeld , M. F. Izzo Villafañe , G. Lugones

In present report we review some preliminary results of investigation of higher orders of mean-field expansion for Nambu--Jona-Lasinio model. We discuss first results of investigation of next-to-next-to-leading order of mean-field expansion…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. G. Jafarov , V. E. Rochev

We apply the dimensional regularization procedure to treat an ultraviolet divergence occurring in the framework of the nuclear many-body problem. We consider the second--order correction (beyond the mean-field approximation) to the equation…

Nuclear Theory · Physics 2015-06-04 Kassem Moghrabi , Marcella Grasso

Bosonization in a theory with four-fermion interaction of Nambu-Jona-Lasinio type with additional U(N) symmetry is studied. It is demonstrated that bosonization is not uniquely determined by the interaction terms due to Fierz identities.…

High Energy Physics - Theory · Physics 2023-09-26 Sergii Kutnii

We study a particular class of Abelian gauged Nambu-Jona-Lasinio models with global U_L(N)xU_R(N) symmetry, where N is the number of fermion flavors. We show, by treating the gauge interaction in the ladder approximation and four-fermion…

High Energy Physics - Theory · Physics 2009-10-31 Manuel Reenders

The renormalisation group flow of the chiral Nambu--Jona-Lasinio (NJL) model with one fermion flavor is mapped out in the symmetric phase with the help of the Functional Renormalisation Group (FRG) method using a physically motivated…

High Energy Physics - Theory · Physics 2020-06-24 A. Jakovac , A. Patkos

The Nambu-Jona-Lasinio (NJL) model and specifically its extension to color superconductivity (CSC) is a popular effective model for investigating dense quark matter. However, the reliability of its results is challenged by cutoff artifacts,…

High Energy Physics - Phenomenology · Physics 2024-12-18 Hosein Gholami , Marco Hofmann , Michael Buballa

The $t$-channel contribution to the difference of electromagnetic polarizabilities of the nucleon, $(\alpha-\beta)^t$, can be quantitatively understood in terms of a $\sigma$-meson pole in the complex $t$-plane of the invariant scattering…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

We study the phase diagram of the strongly interacting matter at finite temperatures and densities including 2SC, uniform chiral and non-uniform chiral phases within the Nambu - Jona-Lasinio model in the mean field approximation.

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Sadzikowski

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

It is proven by explicit construction that regularization by dimensional reduction can be formulated in a mathematically consistent way. In this formulation the quantum action principle is shown to hold. This provides an intuitive and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dominik Stöckinger

We have built an effective Walecka-type hadronic Lagrangian in which the hadron masses and the density dependence of the coupling constants are deduced from the quark dynamics using a Nambu-Jona-Lasinio model. In order to stabilize nuclear…

Nuclear Theory · Physics 2008-11-26 R. Huguet , J. C. Caillon , J. Labarsouque