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In previous works effective non-local $SU(2)\times SU(2)$ NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass $m_0$ and average…

High Energy Physics - Phenomenology · Physics 2010-12-02 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

We review the current status of the research on effective nonlocal NJL-like chiral quark models with separable interactions, focusing on the application of this approach to the description of the properties of hadronic and quark matter…

High Energy Physics - Phenomenology · Physics 2021-01-26 D. Gomez Dumm , J. P. Carlomagno , N. N. Scoccola

The QCD phase diagram at finite temperature and density has attracted considerable interest over many decades now, not least because of its relevance for a better understanding of heavy-ion collision experiments. Models provide some insight…

High Energy Physics - Phenomenology · Physics 2017-04-05 Paul Springer , Jens Braun , Stefan Rechenberger , Fabian Rennecke

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

In this work we investigate the chiral symmetry breaking in the q-deformed version of the NJL Model and its consequent mass generation mechanism . We show that the deformation of the NJL model, in the mean field approximation, may take into…

Nuclear Theory · Physics 2009-11-06 S. S. Avancini , J. R. Marinelli , D. P. Menezes , M. M. Watanabe de Moraes

We consider a nonlocal version of the NJL model, based on a separable quark-quark interaction. The interaction is extended to include terms that bind vector and axial-vector mesons. The nonlocality means that no further regulator is…

High Energy Physics - Phenomenology · Physics 2009-10-30 Robert S. Plant , Michael C. Birse

The subject of effective interactions is introduced and applications in both quantum mechanics and quantum field theory are presented. In particular the use of chiral perturbation theory as an effective low energy description of QCD is…

High Energy Physics - Phenomenology · Physics 2017-08-23 Barry R. Holstein

Effective field theories provide a simple framework for probing possible dark matter (DM) models by reparametrising full interactions into a reduced number of operators with smaller dimensionality in parameter space. In many cases these…

High Energy Physics - Phenomenology · Physics 2015-06-15 Herbi Dreiner , Daniel Schmeier , Jamie Tattersall

I consider a model based on a quark--meson interaction Lagrangian. The transition amplitudes are evaluated by computing diagrams in which heavy and light mesons are attached to quark loops. The light chiral symmetry relations and the heavy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aldo Deandrea

Extensions of the NJL model which go beyond the original 4-quark interaction, which drives the dynamical mass generation, have proven to be quite successful in describing low energy hadronic phenomenology. The inclusion of 8-quark…

High Energy Physics - Phenomenology · Physics 2017-12-04 J. Moreira , J. Morais , B. Hiller , A. A. Osipov , A. H. Blin

In this paper we use considerations of non-commutative geometry to deduce a model for QCD interactions. The model also explains within the same theoretical framework hitherto purely phenomenological characteristics of the quarks like their…

General Physics · Physics 2007-05-23 B. G. Sidharth

We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and…

Nuclear Theory · Physics 2015-05-18 Clark Downum , Jirina Stone , Ted Barnes , Eric Swanson , Isaac Vidana

We review the actual state in the description of the NN interaction by means of chiral constituent quark models. We present a series of relevant features that are nicely explained within the quark model framework.

Nuclear Theory · Physics 2007-05-23 A. Valcarce , F. Fernandez , P. Gonzalez

We investigate the interplay of chiral and heavy quark symmetries by using the NJL quark model. Heavy quarks with finite masses m(Q) as well as the limit m(Q) to infinity are studied. We found large corrections to the heavy mass scaling law…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thorsten Feldmann

The structure of the phase diagram of strongly interacting matter at moderate densities is calculated within a 3-flavor NJL-type quark model with realistic quark masses. We focus on the influence of the selfconsistently determined effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Oertel , M. Buballa

A possibility of spontaneous magnetization in high density symmetric quark matter is investigated using the NJL type effective model of QCD by means of an effective potential with respect to an auxiliary field. It is shown that the quark…

Nuclear Theory · Physics 2012-10-03 Y. Tsue , J. da Providencia , C. Providencia , M. Yamamura

We present a comparative analysis of chiral quark models which include nonlocal covariant four-fermion couplings. We consider two alternative ways of introducing the nonlocality, as well as various shapes for the momentum-dependent form…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Gomez Dumm , A. G. Grunfeld , N. N. Scoccola

We present the bulk thermodynamic properties and phase diagram of strongly interacting matter in an extension of the 3-flavor NJL and PNJL models of QCD. Using a three momentum cut-off scheme, we have extended the multiquark interaction…

High Energy Physics - Phenomenology · Physics 2014-11-20 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Rajarshi Ray

We consider the Quasilocal Quark Model of NJL type including vector and axial-vector four-fermion interaction with derivatives. The mass spectrum for the ground and first excited states is obtained. The chiral symmetry restoration sum rules…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Andrianov , S. S. Afonin

We consider the NJL model as an effective quark theory to describe the interaction which is responsible for the quark flavor dynamics at intermediate energies. In addition to the usual ultraviolet cut-off which is necessary since the model…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , H. Reinhardt
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