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A renormalization group flow equation with a scale-dependent transformation of field variables gives a unified description of fundamental and composite degrees of freedom. In the context of the effective average action, we study the…

High Energy Physics - Theory · Physics 2009-11-07 Holger Gies , Christof Wetterich

We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a…

High Energy Physics - Lattice · Physics 2017-02-16 Jarno Rantaharju , Vincent Drach , Ari Hietanen , Claudio Pica , Francesco Sannino

The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator $\bar{\psi}\psi$ is calculated by using the…

High Energy Physics - Theory · Physics 2009-09-17 T. Inagaki , T. Muta , S. D. Odinstov

The mean field approach to the Nambu-Jona-Lasinio model is developed systematically. Approximate mean field action is obtained, based on the study of divergencies in the mean field action. A special scalar case of the approximate motion…

High Energy Physics - Theory · Physics 2011-01-26 Sergii Kutnii

We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter…

High Energy Physics - Phenomenology · Physics 2019-07-22 Sidney S. Avancini , Ricardo L. S. Farias , Norberto N. Scoccola , William R. Tavares

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

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value…

High Energy Physics - Phenomenology · Physics 2009-11-11 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and N_f=2 flavors of fermion. We show that fits to the equation of state are sensitive to the shape and extent of the…

High Energy Physics - Lattice · Physics 2009-10-30 Simon Hands

We investigate a possibility of a composite Z' vector boson. For the compositeness, the required gauge coupling g in low energy is not so big, g^2/(4\pi) > 0.015 in the case of the U(1)_{B-L} model. We show that the Stueckelberg model is…

High Energy Physics - Phenomenology · Physics 2014-11-25 Michio Hashimoto

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

The momentum-space bosonization method is extended to the case of a Nambu--Jona-Lasinio type model with vector and axial-vector mesons. The method presented gives the possibility of deriving any meson vertex function to all orders in…

High Energy Physics - Phenomenology · Physics 2016-08-16 Véronique Bernard , Ulf-G. Meißner , A. A. Osipov

The Nambu-Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential…

High Energy Physics - Theory · Physics 2008-11-26 L. M. Abreu , M. Gomes , A. J. da Silva

This paper presents a non-Hermitian PT-symmetric extension of the Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics in 3+1 and 1+1 dimensions. In 3+1 dimensions, the SU(2)-symmetric NJL Hamiltonian $H_{\textrm{NJL}} = \bar\psi (-i…

High Energy Physics - Phenomenology · Physics 2020-07-01 Alexander Felski , Alireza Beygi , S. P. Klevansky

We discuss the Nambu-Jona-Lasinio (NJL) model in curved space-time with torsion in the leading order of the $1/N$ expansion. The effective potential of the torsion sector is calculated using the new technique based on the nonlocal part of…

High Energy Physics - Theory · Physics 2024-12-16 Públio Rwany Batista Ribeiro do Vale

We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu \& Jona-Lasinio model. To remove the spurious motion and to restore good spin and isospin we consider a…

Nuclear Theory · Physics 2008-02-03 M. Schleif , R. Wuensch

A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Battistel , G. Dallabona , G. Krein

We propose a novel timelike quantum energy teleportation (QET) protocol within the 1+1 dimensional Nambu-Jona-Lasinio (NJL) model, an interacting fermionic field theory exhibiting spontaneous chiral symmetry breaking. By coupling localized…

Quantum Physics · Physics 2025-05-30 Fidele J. Twagirayezu

We present results of numerical simulations of the 3+1 dimensional Nambu - Jona-Lasinio (NJL) model with a non-zero baryon density enforced via the introduction of a chemical potential mu not equal to 0. The triviality of the model with a…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Hands , David N. Walters

We employ the Nambu Jona--Lasinio model to determine the vacuum pressure on the quarks in a baryon and hence their density inside. Then we estimate the baryonic masses by implementing the local density approximation for the mean field quark…

Nuclear Theory · Physics 2014-11-18 W. M. Alberico , F. Giacosa , M. Nardi , C. Ratti

We study the fixed point of the three-dimensional NJL model in a double-scaling limit where both the charge $Q$ and the number of fermion flavors $N$ become large with a fixed ratio $q=Q/(2N)$. While a similar analysis has been performed…

High Energy Physics - Theory · Physics 2025-05-29 Jahmall Bersini , Simeon Hellerman , Domenico Orlando , Susanne Reffert