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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

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

Dynamical chiral symmetry breaking (DCSB) is a remarkably effective mass generating mechanism. It is also, amongst other things, the foundation for a successful application of chiral effective field theories, the origin of constituent-quark…

Nuclear Theory · Physics 2011-09-28 Lei Chang , Craig D. Roberts

This snapshot of recent progress in hadron physics made in connection with QCD's Dyson-Schwinger equations includes: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of in-hadron…

Nuclear Theory · Physics 2017-08-23 H. L. L. Roberts , L. Chang , I. C. Cloet , C. D. Roberts

We study the effect of QCD-monopole condensation on the dynamical chiral-symmetry breaking by using the dual Ginzburg-Landau theory of QCD. We formulate the Schwinger-Dyson equation and solve it numerically. The large enhancement is found…

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

In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's \beta-function, a key nonperturbative quantity in hadron physics.…

Nuclear Theory · Physics 2015-05-30 Craig D. Roberts

We provide a snapshot of recent progress in hadron physics made using QCD's Dyson-Schwinger equations, reviewing the generation of a quark anomalous chromomagnetic moment, which may explain the longstanding puzzle of the $a_1$-$\rho$ mass…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Craig D. Roberts

Dyson-Schwinger equations furnish a Poincare' covariant approach to hadron physics. They reveal that dynamical chiral symmetry breaking is tied to the long-range behaviour of the strong interaction and make predictions corroborated by…

Nuclear Theory · Physics 2010-03-04 A. Krassnigg , C. D. Roberts

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

In this paper, we present a holographic realization of spontaneous chiral symmetry breaking and confinement. The latter is realized by building a solution of 5d Einstein-dilaton gravity leading to a confining quark antiquark potential. The…

High Energy Physics - Phenomenology · Physics 2023-08-16 Alfonso Ballon-Bayona , Tobias Frederico , Luis A. H. Mamani , Wayne de Paula

In three-dimensional quantum electrodynamics (QED$_{3}$) with massive gauge boson, we investigate the Dyson-Schwinger equation for the fermion self-energy in the Landau gauge and find that chiral symmetry breaking (CSB) occurs when the…

High Energy Physics - Theory · Physics 2009-11-07 Guo-Zhu Liu , Geng Cheng

We study dynamical chiral symmetry breaking (DCSB) in an effective QED$_{3}$ theory of d-wave high temperature cuprate superconductors under a uniform magnetic field. At zero temperature, the external magnetic field induces a mixed state by…

Superconductivity · Physics 2015-06-04 Jian-Feng Li , Hong-Tao Feng , Yu Jiang , Wei-Min Sun , Hong-Shi Zong

Employing a symmetry-preserving contact-interaction formulation of the Dyson-Schwinger equations in quantum chromodynamics (QCD), we examine the identity of the $\sigma$ meson and its implications for the gravitational structure of hadrons.…

High Energy Physics - Phenomenology · Physics 2025-12-16 Zanbin Xing , Khépani Raya , Yu-xin Liu , Lei Chang

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

I report on recent progress in the study of mass generation in non-abelian gauge theories, and concentrate on the origin of constituent masses in QCD. I argue that a consistent formalism has been developed to describe chiral symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell

On a bounded, measurable domain of non-negative current-quark mass, realistic models of QCD's gap equation can simultaneously admit two inequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously…

Nuclear Theory · Physics 2008-11-26 Lei Chang , Yu-Xin Liu , Mandar S. Bhagwat , Craig D. Roberts , Stewart V. Wright

Dyson-Schwinger equations furnish a Poincare' covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap…

Nuclear Theory · Physics 2010-03-04 P. Maris , C. D. Roberts

In Quantum Chromodynamics (QCD) the eigenmodes of the Dirac operator with small absolute eigenvalues have a close relationship to the dynamical breaking of the chiral symmetry. In a simulation with two dynamical quarks, we study the…

High Energy Physics - Lattice · Physics 2015-03-19 C. B. Lang , Mario Schröck

We construct a phenomenological model which describes the dynamical chiral symmetry breaking (DCSB) of QCD vacuum and reproduces meson spectra. Quark condensates, the pion decay constant, and meson spectra are well reproduced by…

High Energy Physics - Phenomenology · Physics 2009-10-30 Michihiro Hirata , Naoto Tsutsui

In (2+1)-dimensional QED with a Chern-Simons term, we study dynamical breaking of chiral symmetry, using the Dyson--Schwinger equation for the fermions. There is a region in parameter space were dynamical chiral symmetry breaking occurs,…

High Energy Physics - Phenomenology · Physics 2011-04-15 P. Maris
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