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Physics is an experimental science; and a constructive feedback between theory and extant and forthcoming experiments is necessary if an understanding of nonperturbative QCD is to be achieved. The Dyson-Schwinger equations connect…

Nuclear Theory · Physics 2012-01-20 Lei Chang , Craig D. Roberts , David J. Wilson

For the study of dynamical chiral-symmetry breaking (DCSB) in QCD, we investigate the Schwinger-Dyson (SD) formalism based on lattice QCD data. From the quenched lattice data for the quark propagator in the Landau gauge, we extract the SD…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

We study the properties of quarks, being confined in hadrons, with the Schwinger-Dyson equation in the dual Ginzburg-Landau Theory. Magnetic monopole condensation, which provides quark confinement, is demonstrated responsible also for…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Toki , S. Sasaki , H. Suganuma

We compute the critical coupling constant for the dynamical chiral-symmetry breaking in a model of quantum chromodynamics, solving numerically the quark self-energy using infrared finite gluon propagators found as solutions of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Natale , P. S. Rodrigues da Silva

The renormalized Dyson-Schwinger equation for the quark propagator is studied, in Landau gauge, in a novel truncation which preserves multiplicative renormalizability. The renormalization constants are formally eliminated from the integral…

High Energy Physics - Phenomenology · Physics 2009-01-14 J. C. R. Bloch

We study the chiral phase transition of QCD at finite temperature and density by numerically solving Schwinger-Dyson equation for the quark propagator with the improved ladder approximation in the Landau gauge. Using the solution we…

High Energy Physics - Phenomenology · Physics 2011-08-17 Masayasu Harada , Akihiro Shibata

Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has the form…

High Energy Physics - Phenomenology · Physics 2011-12-06 A. A. Natale , A. Doff , F. A. Machado

We investigate dynamical chiral symmetry breaking in unquenched ${QED}_3$ using the coupled set of Dyson--Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer , T. Dahm , P. Maris

QCD-like theories provide testing grounds for truncations of functional equations at non-zero density, since comparisons with lattice results are possible due to the absence of the sign problem. As a first step towards such a comparison, we…

High Energy Physics - Phenomenology · Physics 2017-04-05 Romain Contant , Markus Q. Huber

We study chiral symmetry breaking in QCD-like gauge theories introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamical gauge boson mass generation. The effective confining…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

A method for obtaining the small current quark mass effect on the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach both explicit and dynamical chiral symmetry breaking has been…

Nuclear Theory · Physics 2009-11-07 Hong-shi Zong , Xiao-hua Wu , Feng-yao Hou , En-guang Zhao

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 consider the solution of the Bethe-Salpeter equation in Euclidean metric for a qbar-q vector meson in the circumstance where the dressed quark propagators have time-like complex conjugate mass poles. This approximates features…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Bhagwat , M. A. Pichowsky , P. C. Tandy

The phenomena of confinement and dynamical chiral symmetry breaking are basic to understanding hadron observables. They can be explored using Dyson-Schwinger equations. The existence of a systematic, nonperturbative and symmetry preserving…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Craig D. Roberts , Stewart V. Wright

We propose a chemical potential dependent effective gluon propagator and study the chiral quark condensate in strongly interacting matter in the framework of Dyson-Schwinger equation approach. The obtained results manifest that, as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lei Chang , Huan Chen , Bin Wang , Wei Yuan , Yu-xin Liu

We address the old difficulty in accommodating the scalar quark-antiquark confining potential together with chiral symmetry breaking. We develop a quark confining potential inspired in the QCD scalar flux tube. The coupling to quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo , G. M. Marques

The chirally symmetric overlap quark propagator is explored in Coulomb gauge for the first time. This gauge is especially well suited for studying the interrelation between confinement and chiral symmetry breaking, since confinement can be…

High Energy Physics - Lattice · Physics 2015-04-27 M. Pak , M. Schröck

Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting…

Nuclear Theory · Physics 2009-10-28 Helmut Haberzettl

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and f_\pi; the current quark masses are fitted to…

Nuclear Theory · Physics 2007-05-23 P. Maris

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