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By considering the background field method we calculate one-loop polarization corrections to the coupling constant of the flavor-U(5) Nambu-Jona-Lasinio (NJL) model with degenerate up and down quarks. They break flavor and chiral…

High Energy Physics - Phenomenology · Physics 2024-08-16 Willian F. de Sousa , Fabio L. Braghin

We present a novel framework for analyzing unstable composite particles using Green's functions and dispersion relations. As an illustrative example, we explore the $\rho$ vector meson decay process $\rho\to\pi\pi$ within the Nambu -- Jona…

High Energy Physics - Phenomenology · Physics 2025-05-29 Qing-Wu Wang , Xiao-Fu Ł\textü , Hua-Zhong Guo

The effective restoration of chiral and axial symmetries is investigated within the framework of the SU(3) Nambu-Jona-Lasinio model. The topological susceptibility, modeled from lattice data at finite temperature, is used to extract the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

Extending our recently published $SU(2)$ results for zero temperature we now compute the QCD equation of state for finite isospin density within the three flavor Nambu-Jona-Lasinio model in the mean field approximation, motivated by the…

High Energy Physics - Phenomenology · Physics 2021-05-05 Bruno. S. Lopes , Sidney S. Avancini , Aritra Bandyopadhyay , Dyana C. Duarte , Ricardo L. S. Farias

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 phase diagram of the two-dimensional Nambu--Jona-Lasinio model with isospin is explored in the large Nc limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the…

High Energy Physics - Theory · Physics 2020-01-22 Michael Thies

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

A detailed analysis is performed for the Nambu--Jona-Lasinio model coupled with constant (external) magnetic and/or electric fields in two, three, and four dimensions. The infrared cut-off is essential for a well-defined functional…

High Energy Physics - Theory · Physics 2007-05-23 M. Ishi-i , T. Kashiwa , N. Tanimura

The Nambu-Jona-Lasinio model is the special case of the renormalized Yukawa model with the compositeness condition. We use it to calculate the effective coupling constants in terms of the compositeness sale (momentum cut off) at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keiichi Akama

High-dimensional predictive models, those with more measurements than observations, require regularization to be well defined, perform well empirically, and possess theoretical guarantees. The amount of regularization, often determined by…

Methodology · Statistics 2019-07-16 Darren Homrighausen , Daniel J. McDonald

We investigate pion superfluidity in the frame of two flavor Nambu--Jona-Lasinio model beyond mean field approximation. We calculate the thermodynamics to the next to leading order in an expansion in the inverse number of colors, including…

High Energy Physics - Phenomenology · Physics 2009-10-29 Chengfu Mu , Pengfei Zhuang

We study the features of a nonlocal SU(3) Polyakov-Nambu-Jona-Lasinio model that includes wave function renormalization. Model parameters are determined from vacuum phenomenology considering lattice QCD-inspired nonlocal form factors.…

High Energy Physics - Phenomenology · Physics 2018-05-23 J. P. Carlomagno

We consider a two-flavor Nambu \& Jona-Lasinio model in Hartree approximation involving scalar-isoscalar and pseudoscalar-isovector quark-quark interactions. Average meson fields are defined by minimizing the effective Euklidean action. The…

Nuclear Theory · Physics 2015-06-26 R. Wuensch , K. Goeke , Th. Meissner

Nambu-Jona-Lasinio-type models are frequently employed as low-energy models in various research fields. With respect to the theory of the strong interaction, this class of models is indeed often used to analyze the structure of the phase…

High Energy Physics - Phenomenology · Physics 2018-01-26 Jens Braun , Marc Leonhardt , Martin Pospiech

Electromagnetic form factors of the baryon octet are studied using a Nambu--Jona-Lasinio model which utilizes the proper-time regularization scheme to simulate aspects of colour confinement. In addition, the model also incorporates…

Nuclear Theory · Physics 2016-06-01 Manuel E. Carrillo-Serrano , Wolfgang Bentz , Ian C. Cloët , Anthony W. Thomas

The behavior of neutral pseudoscalar mesons $\pi^0, \eta$ and $\eta'$ in hot and dense matter is investigated, in the framework of the three flavor Nambu-Jona-Lasinio model. Three different scenarios are considered: zero density and finite…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , Yu. L. Kalinovsky

The present review gives a survey of recent developments and applications of the Nambu--Jona-Lasinio model with $N_f=2$ and $N_f=3$ quark flavors for the structure of baryons. The model is an effective chiral quark theory which incorporates…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chr. V. Christov , A. Blotz , H. -C. Kim , P. Pobylitsa , T. Watabe , Th. Meissner , E. Ruiz Arriola , K. Goeke

The equation of state and the critical behavior around the critical end point are studied in the context of the Polyakov--Nambu--Jona--Lasinio model. We prove that a convenient choice of the model parameters is crucial to get the correct…

High Energy Physics - Phenomenology · Physics 2010-09-17 M. C. Ruivo , Pedro Costa , H. Hansen , C. A. de Sousa

We estimate the slope of the topological susceptibility in the three flavour Nambu-Jona-Lasinio model with the 't Hooft interaction. The results are consistent with the evaluation from the QCD sum rule in favour of the full topological…

High Energy Physics - Phenomenology · Physics 2011-07-19 K. Fukushima , K. Ohnishi , K. Ohta

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