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Related papers: Foundations of the Constituent Quark Model

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We propose an extended Nambu--Jona-Lasinio model to include the heavy mesons with the heavy quark symmetry. The quark current-current interaction is generalized to include the heavy quark currents. In order to comply with the heavy quark…

High Energy Physics - Phenomenology · Physics 2012-05-03 Xiao-Yu Guo , Xiao-Lin Chen , Wei-Zhen Deng

Considering QCD in an Euclidean box, the mechanism of spontaneous breaking of chiral symmetry (SB$\chi$S) is analyzed in terms of average properties of lowest eigenstates of the Dirac operator. A formal analogy between the pion decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jan Stern

The structure of the hadron spectrum is discussed in connection with the main phenomena of nonperturbative QCD: confinement and chiral symmetry breaking (CSB). For the higher part of the spectrum ($M \ge 2 GeV$) spin and chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

We study the phase diagram of dense, locally neutral three-flavor quark matter within the framework of the Nambu--Jona-Lasinio model. In the analysis, dynamically generated quark masses are taken into account self-consistently. The phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan B. Ruester , Verena Werth , Michael Buballa , Igor A. Shovkovy , Dirk H. Rischke

Based on simulations of the interacting instanton liquid model (IILM) with three-flavor quarks, we compute the free energy density of the QCD vacuum as a function of the quark condensate. We then evaluate the second derivative of the free…

High Energy Physics - Phenomenology · Physics 2025-02-21 Yamato Suda , Daisuke Jido

The effective potential for the composite fields responsible for chiral symmetry breaking in weakly coupled QED in a magnetic field is derived. The global minimum of the effective potential is found to acquire a non-vanishing expectation…

High Energy Physics - Theory · Physics 2016-08-25 D. -S. Lee , P. N. McGraw , Y. J. Ng , I. A. Shovkovy

We consider an extended Nambu--Jona-Lasinio (NJL) model for the light meson sector of QCD where unphysical quark production thresholds are excluded by an infrared cut-off on the momentum integration within quark loop diagrams. This chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , G. Burau , M. K. Volkov , V. L. Yudichev

We investigate the contribution that instantons make to the QCD chiral condensate for Nf= 0, 1 and 2 quark flavours. We use a simplified model: the instantons are a (weighted) gas, the fermionic integrations are restricted to the subspace…

High Energy Physics - Phenomenology · Physics 2007-05-23 U. Sharan , M. Teper

We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Alford , K. Rajagopal , F. Wilczek

We represent QCD at the hadronic scale by means of an effective Hamiltonian, $H$, formulated in the Coulomb gauge. As in the Nambu-Jona-Lasinio model, chiral symmetry is explicity broken, however our approach is renormalizable and also…

High Energy Physics - Phenomenology · Physics 2011-07-19 Felipe J. Llanes-Estrada , Stephen R. Cotanch

We consider the quark-mass dependence of the baryon octet and decuplet ground state masses. It is predicted that QCD dynamics implies a first order transition when increasing the strange quark mass from its chiral limit towards its physical…

High Energy Physics - Lattice · Physics 2020-04-22 Xiao-Yu Guo , Yonggoo Heo , Matthias F. M. Lutz

The features of hot and dense gas of quarks which are considered as the quasi-particles of the model Hamiltonian with four-fermion interaction are studied. Being adapted to the Nambu-Jona-Lasinio model this approach allows us to accommodate…

High Energy Physics - Phenomenology · Physics 2015-03-19 S. V. Molodtsov , G. M. Zinovjev

In the physical vacuum of QCD, the energy density of light-quark fields strongly coupled to slowly varying gluon fields can be negative, and so a condensate of pairs of quarks and antiquarks of nearly opposite momenta forms which breaks…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kevin Cahill

The effect that the current quark mass $M_0$ may result in nonzero-ness of chiral condensates is systematically reexamined and analyzed in a two-flavor Nambu-Jona-Lasinio model simulating Quantum Chromodynamics (QCD) at temperature $T$ and…

High Energy Physics - Phenomenology · Physics 2015-07-21 Bang-Rong Zhou

A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Battistel , G. Dallabona , G. Krein

We argue that consistency of the combined heavy quark and chiral effective lagrangian requires the QCD scale which multiplies $1/M$ in the heavy quark expansion to be the chiral symmetry breaking scale, $\Lambda_{CSB}$, rather than the QCD…

High Energy Physics - Phenomenology · Physics 2009-09-15 Lisa Randall , Eric Sather

Confining configurations are introduced into the standard instanton vacuum model. This drastically improves theoretical properties of the vacuum: instanton size density $d(\rho)$ stabilizes at $\rho\sim 0.2 fm$, all chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

The Interacting Instanton Liquid Model is used to explore the role of instanton induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Cristoforetti , P. Faccioli , M. C. Traini , J. W. Negele

In a style of popular article, we discuss models of hadronic structure and their relation with models of the QCD vacuum and lattice simulations. Borrowing two main characters from G.Gamow, Mr.Thompson and Professor, we make a travel in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Edward Shuryak

We investigate chiral symmetry breaking in strong magnetic fields at finite temperature and densities in a 3 flavor Nambu Jona Lasinio (NJL) model including the Kobayashi Maskawa t-Hooft (KMT) determinant term, using an explicit structure…

High Energy Physics - Phenomenology · Physics 2011-08-08 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra