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In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D < 4 dimensions the theory has solutions which exhibit chiral symmetry breaking for all…

High Energy Physics - Theory · Physics 2010-03-04 V. P. Gusynin , A. W. Schreiber , T. Sizer , A. G. Williams

We summarize recent progress in soft QCD modeling based on the set of Dyson--Schwinger equations truncated to ladder-rainbow level. We pay particular attention to electromagnetic elastic and transition form factors of the pion. This…

Nuclear Theory · Physics 2017-08-23 Peter C. Tandy

Chiral symmetry restoration of quarks is investigated at finite density in quantum chromodynamics. The effective quark mass is calculated with the Schwinger-Dyson equation in the real-time formalism without the instantaneous exchange…

High Energy Physics - Phenomenology · Physics 2020-06-03 Hidekazu Tanaka , Shuji Sasagawa

Starting from the observation that colour charge is only well defined on gauge invariant states, we construct perturbatively gauge invariant, dynamical dressings for individual quarks. Explicit calculations show that an infra-red finite…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martin Lavelle , David McMullan

The interquark static potential for heavy mesons described by a massive One Gluon Exchange interaction obtained from the propagator of the truncated Dyson-Schwinger equations does not reproduced the expected Cornell potential. I show that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Vicente Vento

The quark-loop contribution to the $\rho^0-\omega$ mixing self-energy function is calculated using a phenomenologically successful QCD-based model field theory in which the $\rho^0$ and $\omega$ mesons are composite $\bar{q}q$ bound states.…

High Energy Physics - Phenomenology · Physics 2010-03-04 K. L. Mitchell , P. C. Tandy , C. D. Roberts , R. T. Cahill

The mass function of the nonperturbative quark propagator in SU(3) gauge theory shows only a weak dependence on the vortex content of the gauge configurations. Of particular note is the survival of dynamical mass generation on vortex-free…

High Energy Physics - Lattice · Physics 2013-10-28 Elyse-Ann O'Malley , Waseem Kamleh , Derek Leinweber , Peter Moran

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

We point out that the world sheet swept by the confining string in presence of dynamical quarks can belong to two different phases, depending on the number of charge species and the quark masses. When it lies in the normal phase (as opposed…

High Energy Physics - Lattice · Physics 2011-07-19 F. Gliozzi , P. Provero

By means of a formal expression of the Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperature and finite quark chemical potential, we derive the real-time thermal Schwinger-Dyson equation for quark…

High Energy Physics - Theory · Physics 2014-11-18 Zhou Bang-Rong

We simulate Lattice QED in a constant external magnetic field using the RHMC algorithm. We seek evidence for chiral symmetry breaking predicted by truncated Schwinger-Dyson methods. Since the predicted values of the dynamical electron mass…

High Energy Physics - Lattice · Physics 2022-10-21 D. K. Sinclair , J. B. Kogut

Chiral dynamics is investigated using the chiral confining Lagrangian (CCL), previously derived from QCD with confinement interaction. Based on the calculations of the quark condensate, which is defined entirely by confinement in the zero…

High Energy Physics - Phenomenology · Physics 2022-01-26 Yu. A. Simonov

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. --I. Kondo , P. Maris

General properties of the light and heavy quark propagators have been investigated in the context of string tension interaction. Confinement, chiral symmetry breaking, spectral properties of the propagator are analytically studied and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ramesh Anishetty , Santosh Kumar Kudtarkar

In these proceedings I review the status of an ongoing project that aims at solving the quark propagator Dyson-Schwinger equation in the complex domain. The novel aspect of the approach is that the non-analyticities arising throughout the…

High Energy Physics - Phenomenology · Physics 2017-07-17 Andreas Windisch

We study the non-perturbative phenomena of Dynamical Mass Generation and Confinement by truncating at the non-perturbative level the Schwinger-Dyson equations in Maxwell-Chern-Simons planar quantum electrodynamics. We obtain numerical…

High Energy Physics - Phenomenology · Physics 2015-03-19 Saúl Sánchez Madrigal , Christoph P. Hofmann , Alfredo Raya

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions. Herein I provide a…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts

Based on a suitable basis system for the quark-gluon vertex' transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a…

High Energy Physics - Phenomenology · Physics 2026-04-23 Georg Wieland , Reinhard Alkofer

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

High Energy Physics - Phenomenology · Physics 2017-10-11 Romain Contant , Markus Q. Huber

In this study, we revisit the Schwinger-Dyson equation for the electron propagator in QED in three and four space-time dimensions. Our analysis addresses the non-perturbative phenomenon of dynamical chiral symmetry breaking, which requires…

High Energy Physics - Phenomenology · Physics 2025-09-17 Juan D. García-Muñoz , A. Alfaro , L. X. Gutiérrez-Guerrero , A. Raya
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