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We establish that QED3 can possess a critical number of flavours, N_f^c, associated with dynamical chiral symmetry breaking if, and only if, the fermion wave function renormalisation and photon vacuum polarisation are homogeneous functions…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. Bashir , A. Raya , I. C. Cloet , C. D. Roberts

In this work it will be shown how quark confinement appears when wave equations derived in curved spaces are considered. First, the equations and their solutions for Coulomb-like potentials will be presented, and then, how this theory leads…

High Energy Physics - Phenomenology · Physics 2009-01-07 Celso de Camargo Barros

We review some recent studies on the string model of confinement inspired by the strong-coupling regime of QCD and its application to exotic multiquark configurations. This includes two quarks and two antiquarks, four quarks and one…

High Energy Physics - Phenomenology · Physics 2015-06-12 J. Vijande , A. Valcarce , J. -M. Richard

The three-dimensional non-compact QED is known to exhibit weak confinement when fermions acquire a finite mass via the mechanism of dynamical chiral symmetry breaking. In this paper, we study the effect of fermion damping caused by elastic…

High Energy Physics - Theory · Physics 2015-11-23 Jing Wang , Jing-Rong Wang , Wei Li , Guo-Zhu Liu

The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in…

High Energy Physics - Theory · Physics 2015-03-13 C. Popovici , P. Watson , H. Reinhardt

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

The concepts of local and global colour singletness in QCD are analyzed within a framework of a group theoretical technique which can project out various colour representations of the QGP. A proof of colour singletness is thereby provided.…

General Physics · Physics 2007-05-23 Afsar Abbas

We present a theoretical framework allowing to make an explicit connection between the phenomenology of QCD, namely the properties of the gluon correlator and Wilson loops, and a particular relativistic model for the description of nuclear…

Nuclear Theory · Physics 2025-03-21 Guy Chanfray , Magda Ericson , Hubert Hansen , Jérôme Margueron , Marco Martini

I discuss "truncated" QCD studied recently by Glozman et al. through numerical simulations. For two flavors it was observed that truncation restores the full chiral U(2)\times U(2) symmetry of the Lagrangian. Moreover, additional…

High Energy Physics - Phenomenology · Physics 2016-05-04 M. Shifman

We first introduce the conceptual basis of critical behaviour in strongly interacting matter, with colour deconfinement as QCD analog of the insulator-conductor transition and chiral symmetry restoration as special case of the associated…

High Energy Physics - Phenomenology · Physics 2016-09-06 Helmut Satz

I demonstrate how confinement in Coulomb-gauge QCD makes quark-quark states of the color anti-triplet (diquarks) move out of the physical spectrum. Mesons as color singlet quark-antiquark states, on the other hand have finite masses and for…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. F. Wagenbrunn

A quark model with general Yang-Mills $SU_3$ symmetry leads to fourth-order field equations and linear confining potential. The confining gauge bosons (`confions') are treated as off-mass-shell particles and their indefinite energies are…

General Physics · Physics 2017-07-13 Jong-Ping Hsu

We review arguments that chiral symmetry breaking is triggered when the quark bilinear condensate's dimension passes through one ($\gamma=1$). This is supported by gap equations and more recently holographic models. Confinement may then be…

High Energy Physics - Phenomenology · Physics 2021-05-26 Nick Evans , Konstantinos S. Rigatos

We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in the I=3/2 representation and of its supersymmetric generalization. In the former, we find a new and exotic mechanism of confinement, induced by topological…

High Energy Physics - Theory · Physics 2009-09-11 Erich Poppitz , Mithat Unsal

In this paper, we study the chiral symmetry restoration in the hadronic spectrum in the framework of generalised Nambu-Jona-Lasinio quark models with instantaneous confining quark kernels. We investigate a heavy-light quarkonium and derive…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. S. Kalashnikova , A. V. Nefediev , J. E. F. T. Ribeiro

The chiral bag model offers a dual description of hadron physics in terms of quarks and hadrons in the sense of Cheshire Cat principle. In this work, we find that, within the chiral bag, confinement is likely caused by monopole…

High Energy Physics - Phenomenology · Physics 2025-07-10 Fan Lin , Yong-Liang Ma

Nonlinearities imbedded in the Lagrange density for non-Abelian gauge theories produce solutions to the Yang-Mills Maxwell equations that describe spatially extended chromostatic condensates. For solutions in spherically-symmetric SU(2) the…

High Energy Physics - Theory · Physics 2021-03-08 Dennis Sivers

We have investigated a closed set of equations for the quark propagator, which has been obtained earlier within a new, nonperturbative approach to two-dimencional covariant gauge QCD. It is shown that this theory implies quark confinement…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Gogohia , Gy. Kluge , I. Vargas de Usera

We study a class of 4-dimensional $SU(N)$ chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases. The choice $N=4\mathbb{Z}$ corresponds to gauging the fermion…

High Energy Physics - Theory · Physics 2022-03-02 Mohamed M. Anber , Sungwoo Hong , Minho Son

The spectrum of $\bar q q$ mesons in a model where the only interaction is a linear Coulomb-like instantaneous confining potential is studied. The single-quark Green function as well as the dynamical chiral symmetry breaking are obtained…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. F. Wagenbrunn , L. Ya. Glozman