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Related papers: Meson loop effects in the NJL model at zero and no…

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We investigate quark potential by considering meson exchanges in the two flavor Nambu--Jona-Lasinio model at finite temperature and density. There are two kinds of oscillations in the chiral restoration phase, one is the Friedel oscillation…

Nuclear Theory · Physics 2008-12-18 Chengfu Mu , Pengfei Zhuang

We calculate the thermal evolution of $\pi-\pi$ scattering lengths, in the frame of the Nambu--Jona-Lasinio model. The thermal corrections were calculated at the one loop level using Thermofield Dynamics. We present also results for the…

High Energy Physics - Phenomenology · Physics 2008-12-18 M. Loewe , Jorge Ruiz A. , J. C. Rojas

The two-point functions in generalized Nambu--Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in $1/N_c$. The use of Ward identities and the heat-kernel expansion allows for a large degree of…

High Energy Physics - Phenomenology · Physics 2011-03-31 Johan Bijnens , Joaquim Prades

We study the large-N_c behavior of the critical temperature T_c for chiral symmetry restoration in the framework of the Nambu-Jona-Lasinio (NJL) model and the linear \sigma-model. While in the NJL case T_c scales as N_c^0 and is, as…

High Energy Physics - Phenomenology · Physics 2013-05-30 Achim Heinz , Francesco Giacosa , Dirk H. Rischke

Usual treatment of the Nambu--Jona-Lasinio (NJL) model using loop momentum cutoff suffers from ambiguities in choosing the loop momenta to be cut off and violation of (external) gauge invariance. We define the NJL model from the starting…

High Energy Physics - Phenomenology · Physics 2009-10-28 Takashi HAMAZAKI , Taichiro KUGO

We investigate the possibility of the spin polarization of quark matter at zero temperature and moderate baryon density.The Nambu-Jona-Lasinio (NJL) model including interactions in vector and axial-vector channel (coupling constant $G_2$)…

High Energy Physics - Phenomenology · Physics 2011-08-04 Shinji Maedan

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 chiral symmetry restoration in hot and dense quark matter using the von Neumann chirality entropy within the in-medium Nambu-Jona-Lasinio (NJL) model. Starting from the lesser Green's function G<(k), we construct the…

High Energy Physics - Phenomenology · Physics 2026-02-13 Seung-il Nam

In this paper we detail the thermodynamics of two flavor nonlocal Polyakov-Nambu-Jona-Lasinio models for different parametrizations of the quark interaction regulators. The structure of the model is upgraded in order to allow for terms in…

High Energy Physics - Phenomenology · Physics 2014-01-31 S. Benic , D. Blaschke , G. A. Contrera , D. Horvatic

In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and…

High Energy Physics - Phenomenology · Physics 2022-03-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

The system of second-order equations of mean-field expansion is considered for Nambu--Jona-Lasinio model with chiral symmetry of SU(2)-group. The system includes equations for four-particle and three-particle functions and also equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

The chiral expansion of the one-loop corrections to baryon masses is examined in a generic meson-cloud model with meson-baryon form factors. For pion loops, the expansion is rapidly convergent and at fourth order in $m_\pi$ accurately…

High Energy Physics - Phenomenology · Physics 2008-11-26 Richard E. Stuckey , Michael C. Birse

We study the thermodynamics of the Nambu--Jona-Lasinio model with Polyakov loops, where spontaneous chiral symmetry breaking and confinement are taken into account. We focus on the phase structure of the model and explore the…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

The tensor-RPA approach developed previously in part I is applied to the Nambu-Jona-Lasinio (NJL) model. As a first step we investigate the structure of Dirac-Hartree-Fock solutions for a rotationally and isospin invariant ground-state…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Hardt , J. Geiss , H. Lenske , U. Mosel

In order to study the fate of mesons in thermal QCD at finite baryon chemical potential, we consider light mesonic correlation functions using the Taylor expansion to ${\cal O}((\mu/T)^2)$, in both the hadronic and quark-gluon plasma…

High Energy Physics - Lattice · Physics 2020-01-14 G. Aarts , C. Allton , D. De Boni , J. Glesaaen , S. Hands , B. Jäger , A. A. Nikolaev , J. -I. Skullerud , L. -K. Wu

We make a thermal analysis of the light scalar susceptibilities using SU(3)-Chiral Perturbation Theory to one loop taking into account the QCD source of isospin breaking (IB), i.e corrections coming from $m_u\neq m_d$. The value of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 R. Torres Andres , A. Gomez Nicola

We study the chiral fermion meson model which is the well known linear sigma model of Gell-Mann-and-Levy at finite temperature.A modified self-consistent resummation (MSCR) which resums higher order terms in the perturbative expansion is…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. C. G. Caldas , A. L. Mota , M. C. Nemes

In order to avoid unphysical causality-violating effects any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement implies substantial dependence of properties of…

High Energy Physics - Theory · Physics 2017-05-24 M. N. Chernodub , Shinya Gongyo

We reconsider chiral perturbation theory in a finite volume and develop a new computational scheme which smoothly interpolates the conventional epsilon and p regimes. The counting rule is kept essentially the same as in the p expansion. The…

High Energy Physics - Lattice · Physics 2015-03-19 Sinya Aoki , Hidenori Fukaya

We discuss the phase structure (in the $1/N$-expansion) of the Nambu-Jona-Lasinio model in curved spacetime with non-trivial topology ${\cal M}^3 \times {\rm S}^1$. The evaluation of the effective potential of the composite field…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Leseduarte , S. D. Odintsov