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We investigate dynamical chiral symmetry breaking in the Coulomb gauge Hamiltonian QCD. Within the framework of the linked cluster expansion we extend the BCS ansatz for the vacuum and include correlation beyond the quark-antiquark paring.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Adam P. Szczepaniak , Pawel Krupinski

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We analyze which momentum component of the gluon field induces spontaneous chiral symmetry breaking in lattice QCD. After removing the high-momentum or low-momentum component of the gluon field, we calculate the chiral condensate and…

High Energy Physics - Lattice · Physics 2010-01-19 Arata Yamamoto , Hideo Suganuma

We discuss the possible influence of fundamental QCD properties such as spontaneous chiral symmetry breaking and nucleon substructure on nuclear matter properties. We propose a chiral version of the relativistic $\sigma-\omega$ model in…

Nuclear Theory · Physics 2011-07-19 G. Chanfray , M. Ericsson , E. Massot

Two crucial properties of QCD, confinement and chiral symmetry breaking, cannot be understood within the context of conventional Feynman perturbation theory. Non-perturbative phenomena enter the theory in a fundamental way at both the…

High Energy Physics - Lattice · Physics 2015-05-27 Michael Creutz

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

In this paper we discuss the combined effects on nuclear matter properties of the quark confinement mechanism in nucleon and of the chiral effective potential resulting from the spontaneous breaking of the chiral symmetry in nuclear matter.…

Nuclear Theory · Physics 2023-04-04 G. Chanfray , H. Hansen , J. Margueron

Chiral symmetry in massless QCD is believed to be broken spontaneously. We discuss a possibility that the chiral symmetry is explicitly broken by QCD monopoles which appear only in strong coupled QCD. Namely, the monopole quark interaction…

High Energy Physics - Phenomenology · Physics 2019-09-02 Aiichi Iwazaki

Confinement has been introduced into the quark gap equation, as proposed by Cornwall, as a possible solution to the problem of chiral symmetry breaking in QCD with dynamically massive gluons. We argue that the same mechanism can be applied…

High Energy Physics - Phenomenology · Physics 2012-11-26 A. Doff , F. A. Machado , A. A. Natale

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

It has become traditional to assume that the Dirac structure of the phenomenological quark confinement potential is scalar $\otimes$ scalar. We use the heavy quark expansion of the Coulomb gauge QCD Hamiltonian and the Flux Tube model to…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. S. Swanson

Nonperturbative features of QCD are studied using the dual Ginzburg-Landau (DGL) theory with QCD-monopoles. The linear quark potential appears in the QCD-monopole condensed vacuum. We find that QCD-monopole condensation plays an essential…

High Energy Physics - Phenomenology · Physics 2016-09-01 Hiroshi Toki , Hideo Suganuma , Shoichi Sasaki , Hiroko Ichie

Using the effective potential formalism, we study dynamical chiral symmetry breaking (D$\chi$SB) in the dual Ginzburg-Landau (DGL) theory, where the color confinement is brought by monopole condensation. The effective potential as a…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Umisedo , S. Sasaki , H. Suganuma , H. Toki

We study a model Dyson-Schwinger equation for the quark propagator closed using an {\it Ansatz} for the gluon propagator of the form \mbox{$D(q) \sim q^2/[(q^2)^2 + b^4]$} and two {\it Ans\"{a}tze} for the quark-gluon vertex: the minimal…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Craig D. Roberts , Anthony G. Williams

Some of the difficulties arising when one tries to understand confinement as well as dynamical and anomalous chiral symmetry breaking are reviewed. Criteria to be fulfilled by a successful and complete picture of these phenomena are…

High Energy Physics - Phenomenology · Physics 2009-12-04 Reinhard Alkofer

We study nonperturbative features of QCD using the dual Ginzburg-Landau theory. The color confinement is realized through the dual Higgs mechanism, which is brought by QCD-monopole condensation. We investigate the infrared screening effect…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hideo Suganuma , Shoichi Sasaki , Hiroshi Toki

We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It…

High Energy Physics - Phenomenology · Physics 2011-02-02 Jens Braun , Lisa M. Haas , Florian Marhauser , Jan M. Pawlowski

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer

A closed system of equations for the propagators of Landau gauge QCD is obtained in a truncation scheme for their Dyson-Schwinger equations which implements the Slavnov-Taylor identities for the 3-point vertex functions while neglecting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

The relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ans\"atze for the dressed interaction and quark-gluon vertex. The…

High Energy Physics - Phenomenology · Physics 2019-05-29 Fernando E. Serna , Chen Chen , Bruno El-Bennich
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