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We consider the Quasilocal Quark Model of NJL type (QNJLM) as an effective theory of non-perturbative QCD including scalar (S), pseudoscalar (P), vector (V) and axial-vector (A) four-fermion interaction with derivatives. In the presence of…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Andrianov , V. A. Andrianov

We investigate the chiral phase transition at nonzero temperature $T$ and baryon-chemical potential $\mu_B$ within the framework of the linear sigma model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in both models…

Nuclear Theory · Physics 2010-04-06 O. Scavenius , A. Mocsy , I. N. Mishustin , D. H. Rischke

The QCD phase diagram is studied in the presence of an isospin asymmetry using continuum extrapolated staggered quarks with physical masses. In particular, we investigate the phase boundary between the normal and the pion condensation…

High Energy Physics - Lattice · Physics 2018-04-04 B. B. Brandt , G. Endrodi , S. Schmalzbauer

We extend the quark-meson coupling (QMC) model to incorporate chiral symmetry. The relationship between the QMC model and chiral perturbation theory is also discussed. The nuclear central potential is modified by the effect of internal…

Nuclear Theory · Physics 2015-05-18 Koichi Saito

We study the equation of state of a strongly interacting theory of relativistic bosons and chiral fermions in the vicinity and above the chiral phase transition temperature. Our model resembles presently used low-energy models of QCD in…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jens Braun

The Nambu--Jona-Lasinio (NJL) model has been extensively studied by many researchers. In previous work we have generalized the NJL model to include a covariant model of confinement. In the present work we consider further modification of…

Nuclear Theory · Physics 2007-05-23 Bing He , Hu Li , Qing Sun , C. M. Shakin

We study QED corrections to the chiral symmetry breaking in Nambu-Jona-Lasinio (NJL) model with two flavors of quarks. In the model the isospin symmetry is broken by differences of the current quark masses and the electromagnetic charges…

High Energy Physics - Phenomenology · Physics 2017-08-23 Takahiro Fujihara , Tomohiro Inagaki , Daiji Kimura

We present a new analysis of the ratio \epsilon'/\epsilon which measures the direct CP violation in K\to\pi\pi decays. We use the 1/N_c expansion within the framework of the effective chiral lagrangian for pseudoscalar mesons. The 1/N_c…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Hambye , G. O. Koehler , E. A. Paschos , P. H. Soldan

The finite-size effect on the chiral phase transition is investigated in the Nambu--Jona-Lasinio model. To take into account finite-size effects, momentum integrals are replaced by momentum summations. The ground state of quark matter at…

High Energy Physics - Phenomenology · Physics 2019-04-03 Kun Xu , Mei Huang

The chiral phase transition and equation of state are studied within a new self-consistent mean-field approximation of the two-flavor Nambu$-$Jona-Lasinio model. In this newly developed model, modifications to the chemical potential $\mu$…

Nuclear Theory · Physics 2021-05-28 Qing-Wu Wang , Chao shi , Hong-Shi Zong

In the recently years it has been argued that spectators in heavy ion collisions are responsible for creating a strong magnetic field that could play an important role in the QCD phase transition. In this work we use the SU(2)…

High Energy Physics - Phenomenology · Physics 2013-07-10 Andre Felipe Garcia , Marcus Benghi Pinto

We present numerical results for the location of the chiral critical line at finite temperature and zero and non-zero baryon density for QCD with N_f=2+1 flavours of staggered fermions on lattices with temporal extent N_t=4. For degenerate…

High Energy Physics - Lattice · Physics 2010-10-27 Philippe de Forcrand , Owe Philipsen

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner

QCD at nonzero isospin chemical potentials has phenomenological relevance for a series of physical systems and provides an ideal testground for the modeling of dense strongly interacting matter. The two-flavor quark-meson model is known to…

High Energy Physics - Phenomenology · Physics 2025-09-09 Bastian B. Brandt , Volodymyr Chelnokov , Gergely Endrodi , Gergely Marko , Daniel Scheid , Lorenz von Smekal

The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike the case in earlier published papers, we obtain the $\pi\pi$ scattering amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , A. H. Blin , B. Hiller , Y. P. Ivanov , A. A. Osipov , Ulf-G. Meißner

We discuss three applications of NJL- and PNJL-like models to assess aspects of the QCD phase diagram: First, we study the effect of mesonic correlations on the pressure below and above the finite temperature phase transition within a…

High Energy Physics - Phenomenology · Physics 2015-05-13 M. Buballa , A. G. Grunfeld , A. E. Radzhabov , D. Scheffler

We study the scaling behavior of the (2+1)-flavor QCD crossover region towards the chiral limit with smaller-than-physical light quark mass gauge ensembles, generated using the HISQ fermion discretization. At zero chemical potential, we…

High Energy Physics - Lattice · Physics 2022-07-14 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Sheng-Tai Li , Mugdha Sarkar , Christian Schmidt , Philipp Scior

We propose a prescription to constrain the chiral effective model approach to the QCD phase diagram using the thermal Statistical Model, which is a description consistent with the experimental data at the freeze-out. In the transition…

High Energy Physics - Phenomenology · Physics 2011-06-27 Kenji Fukushima

The scaling behavior of the order parameter at the chiral phase transition, the so-called magnetic equation of state, of strongly interacting matter is studied within effective models. We explore universal and nonuniversal structures near…

High Energy Physics - Phenomenology · Physics 2017-02-01 Gabor Andras Almasi , Wojciech Tarnowski , Bengt Friman , Krzysztof Redlich

The critical behavior of the three-dimensional $N$-vector chiral model is studied for arbitrary $N$. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , P. Parruccini , A. I. Sokolov