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We study three-flavor octet baryons by using the so-called extended Linear Sigma Model (eLSM). Within a quark-diquark picture, the requirement of a mirror assignment naturally leads to the consideration of four spin-$\frac{1}{2}$ baryon…

高能物理 - 唯象学 · 物理学 2016-11-03 L. Olbrich , M. Zétényi , F. Giacosa

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

We consider the low energy effective action of QCD below the chiral symmetry breaking scale, including, in Wilson's spirit, all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. The effect of…

高能物理 - 唯象学 · 物理学 2009-10-31 A. A. Andrianov , D. Espriu , R. Tarrach

We derive the chiral Lagrangian at next-to-next-to-next-to-leading order (NNNLO) for a general number $N_f$ of light quark flavours as well as for $N_f=2,3$. We enumerate the contact terms separately. We also discuss the cases where some of…

高能物理 - 唯象学 · 物理学 2023-02-24 Johan Bijnens , Nils Hermansson-Truedsson , Si Wang

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…

高能物理 - 唯象学 · 物理学 2009-10-28 Chr. V. Christov , A. Blotz , H. -C. Kim , P. Pobylitsa , T. Watabe , Th. Meissner , E. Ruiz Arriola , 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…

We construct an effective Lagrangian for low energy hadronic interactions through an infinite expansion in inverse powers of the low energy cutoff $\Lambda_\chi$ of all possible chiral invariant non-renormalizable interactions between…

高能物理 - 唯象学 · 物理学 2009-10-28 E. Pallante , R. Petronzio

We discuss the low-energy analysis of models involving quarks and four-fermion couplings. The relation with QCD and with other models of mesons and meson plus quarks at low energies is discussed. A short description of how the heat-kernel…

高能物理 - 唯象学 · 物理学 2015-06-25 Johan Bijnens

Transport theory for an interacting fermionic system is reviewed and applied to the chiral Lagrangian of the Nambu-Jona-Lasinio model. Two expansions must be applied: an expansion in the inverse number of colors, $1/N_c$, due to the nature…

高能物理 - 唯象学 · 物理学 2009-10-30 S. P. Klevansky , A. Ogura , J. Hüfner

This series of three lectures covers (a) a basic introduction to symmetry breaking in general and chiral symmetry breaking in QCD, (b) an overview of the present status of lattice data and the knowlegde that we have at finite temperature…

高能物理 - 唯象学 · 物理学 2009-10-31 S. P. Klevansky

We have recently extended the scalar-pseudoscalar sector of a generalized NJL Lagrangian that includes all NLO non derivative interactions in Nc counting (including explicit symmetry breaking ones) in order to incorporate the spin 1 mesons…

高能物理 - 唯象学 · 物理学 2018-04-23 Jorge Morais , Brigitte Hiller , Alexander A. Osipov

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of…

高能物理 - 唯象学 · 物理学 2010-11-01 T. Hatsuda , T. Kunihiro

We try to find the relation between the three-flavor Nambu-Jona-Lasinio model and QCD based on the hypothesis that the gluon momenta are sharply condensed around the QCD scale, \mu_g. We find that the effective four- and six-fermion…

高能物理 - 唯象学 · 物理学 2016-03-01 Hiroaki Kohyama

In this talk attention is drawn to thermal properties due to the addition of eight quark interactions in the standard $SU(3)\times SU(3)$ chiral Nambu-Jona-Lasinio model (NJL) with 't Hooft interaction (NJLH). The schematic SU(3) flavor…

高能物理 - 唯象学 · 物理学 2009-10-14 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

A $1/\N$ expansion of the chiral Lagrangian for baryons is formulated and used to study the low-energy dynamics of baryons interacting with the pion nonet $\pi$, $K$, $\eta$ and $\eta^\prime$ in a combined expansion in chiral symmetry…

高能物理 - 唯象学 · 物理学 2008-11-26 Elizabeth Jenkins

The flavor-dependent quark-antiquark contact interactions, induced by vacuum polarization and recently derived for flavor U(3) Nambu-Jona-Lasinio model, are articulated with the resulting mixing effects emerging from flavor symmetry…

高能物理 - 唯象学 · 物理学 2025-08-11 F. L. Braghin

We present the lattice formulation of effective Lagrangians in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework both the Wilson term removing unphysical doubler fermions and the fermion mass term do not…

高能物理 - 格点 · 物理学 2009-11-10 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

The Nambu Jona-Lasinio model of chiral symmetry breaking predicts a second order chiral phase transition. If the fermions in addition have non-abelian gauge interactions then the transition is expected to become a crossover as the NJL term…

高能物理 - 理论 · 物理学 2017-05-17 Will Clemens , Nick Evans

We study a relativistic Hartree-Fock Lagrangian model which considers confinement, chiral symmetry breaking, nucleon form factor and short range correlations. The chiral potential originally based on the linear sigma-model is compared to an…

核理论 · 物理学 2024-01-19 M. Chamseddine , J. Margueron , H. Hansen , G. Chanfray

Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

高能物理 - 唯象学 · 物理学 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia