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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

We study the relation between quark confinement and spontaneous chiral-symmetry breaking directly in QCD. In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the…

High Energy Physics - Lattice · Physics 2014-01-20 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

In this work, we investigate how the details of the quark-gluon interaction vertex affect the quantitative description of chiral symmetry breaking through the gap equation for quarks. We start from two gluon propagator models widely used in…

Nuclear Theory · Physics 2023-10-16 M. Atif Sultan , Khépani Raya , Faisal Akram , Adnan Bashir , Bilal Masud

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

Chiral Symmetry Breaking (CSB) is derived in QCD starting from the QCD Lagrangian and using Field Correlators Method (FCM). The kernel in the resulting equations responsible for CSB is directly connected to confinement, and therefore both…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

The effective restoration of $SU(2)_L \times SU(2)_R$ and $U(1)_A$ chiral symmetries of QCD in excited hadrons is reviewed. While the low-lying hadron spectrum is mostly shaped by the spontaneous breaking of chiral symmetry, in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman

Beyond the spontaneous chiral symmetry breaking scale light and strange baryons should be considered as systems of three constituent quarks with an effective confining interaction and a chiral interaction that is mediated by the octet of…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Ya. Glozman

We examine a nonlocal interaction that results from expressing the QCD Hamiltonian entirely in terms of gauge-invariant quark and gluon fields. The interaction couples one quark color-charge density to another, much as electric charge…

High Energy Physics - Theory · Physics 2009-10-31 Lusheng Chen , Kurt Haller

An effective Lagrangian approach to describe the dynamics of confinement and symmetry breaking in the process of quark-gluon to hadron conversion is proposed. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Geiger

We discuss the critical behaviour of strongly interacting matter close to the QCD phase transition. Emphasis is put on a presentation of results from lattice calculations that illustrate deconfining as well as chiral symmetry restoring…

High Energy Physics - Lattice · Physics 2009-09-25 Frithjof Karsch

A key question to QCD is what mechanism generates the hadron mass in the light quark sector, where both confinement and chiral symmetry breaking are in the game. Are confinement and chiral symmetry breaking in the vacuum uniquely…

High Energy Physics - Phenomenology · Physics 2012-12-03 L. Ya. Glozman

We study confinement and chiral symmetry breaking phase transitions for QCD and supersymmetric QCD. The method is based on some justified assumption regarding the behavior of the Green function relevant for the potential between two charges…

High Energy Physics - Phenomenology · Physics 2018-09-07 Renata Jora

I consider the question of the interaction between a QCD string and the spin of a quark or an antiquark on whose worldline the string terminates. The problem is analysed from the point of view of a string representation for the expectation…

High Energy Physics - Theory · Physics 2008-11-26 Vikram Vyas

We review the chiral spin symmetry, which is a symmetry of the color charge and of the confining electric part of QCD. Observation of this symmetry in the vacuum upon truncation of the near-zero modes of the Dirac operator implies that the…

High Energy Physics - Phenomenology · Physics 2025-10-17 L. Ya. Glozman

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

The strong interaction is the fundamental force that holds quarks and the gluon force carriers together to form protons and neutrons and also binds the atomic nucleus. The theory governing quark-gluon interactions is Quantum Chromodynamics…

High Energy Physics - Phenomenology · Physics 2026-05-04 Xiangdong Ji , Gerald A. Miller , Chen Yang

We propose a qualitatively new mechanism for quarkonium production, motivated by the global features of the experimental data and by the successes/failures of existing models. In QCD, heavy quarks are created in conjunction with a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Paul Hoyer , Stephane Peigne

The instanton approach to spontaneous chiral symmetry breaking is reviewed, with emphasis on the connection to chiral random matrix theory. We extend the approach to discuss the finite density, zero-temperature behaviour of quark matter.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gregory W. Carter , Dmitri Diakonov

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly…

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