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We study chiral symmetry breaking in quenched strong-coupling QED$_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are…

高能物理 - 格点 · 物理学 2008-11-26 A. G. Williams , F. T. Hawes

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex…

高能物理 - 唯象学 · 物理学 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

We examine the Dyson-Schwinger equation for the fermion propagator in quenched QED in three and four dimension based on spectral representation with vertex ansatz which preserves Ward-Takahashi Identity.An appropriate renormalization within…

高能物理 - 理论 · 物理学 2007-05-23 Y. Hoshino

We summarise results for the propagators of Landau gauge QCD from the Green's functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger…

高能物理 - 唯象学 · 物理学 2008-11-26 C. S. Fischer , R. Alkofer

We study the gauge dependence of the fermion propagator in quenched QED3 with and without dynamical symmetry breaking in the light of its Landau-Khalatnikov-Fradkin Transformation (LKFT). In the former case, starting with the massive bare…

高能物理 - 理论 · 物理学 2009-08-11 A. Bashir , A. Raya

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…

高能物理 - 唯象学 · 物理学 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

We discuss the chirally symmetric solution of the massless, quenched, Dyson-Schwinger equation for the fermion propagator in three and four dimensions. The solutions are manifestly gauge covariant. We consider a gauge covariance constraint…

高能物理 - 唯象学 · 物理学 2010-03-04 Zhihua Dong , Herman J. Munczek , Craig D. Roberts

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…

高能物理 - 唯象学 · 物理学 2011-12-06 A. A. Natale , A. Doff , F. A. Machado

Numerical study of the Schwinger-Dyson equation (SDE) for the fermion propagator (FP) to obtain dynamically generated chirally asymmetric solution in an arbitrary covariant gauge $\xi$ is a complicated exercise specially if one employs a…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bashir , A. Raya

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…

高能物理 - 理论 · 物理学 2010-03-04 V. P. Gusynin , A. W. Schreiber , T. Sizer , A. G. Williams

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…

高能物理 - 唯象学 · 物理学 2016-09-01 K. --I. Kondo , P. Maris

A conformal invariant QED-inspired model is solved for a general covariant linear gauge using the Dyson-Schwinger equations for the propagators assuming a pure vector like interaction. The leading corrections to the asymptotic solutions and…

高能物理 - 理论 · 物理学 2024-08-27 O Oliveira , T Frederico , W de Paula

We study chiral symmetry breaking in $\rm QED_3$ with $N_f$ flavors of four-component fermions. A closed system of Schwinger-Dyson equations for fermion and photon propagators and the full fermion-photon vertex is proposed, which is…

高能物理 - 唯象学 · 物理学 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders

A non-perturbative construction of the 3-point fermion-boson vertex which obeys its Ward-Takahashi or Slavnov-Taylor identity, ensures the massless fermion and boson propagators transform according to their local gauge covariance relations,…

高能物理 - 唯象学 · 物理学 2015-05-30 Adnan Bashir , Alfredo Raya , Saul Sanchez-Madrigal

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…

高能物理 - 唯象学 · 物理学 2010-03-04 Frederick T. Hawes , Craig D. Roberts , Anthony G. Williams

The infrared behavior of the quark-gluon vertex of quenched Landau gauge QCD is studied by analyzing its Dyson-Schwinger equation. Building on previously obtained results for Green functions in the Yang-Mills sector we analytically derive…

高能物理 - 唯象学 · 物理学 2009-11-13 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

We present results from a study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in massive strong-coupling quenched QED$_4$. Results are compared for three different fermion-photon proper vertex {\it…

高能物理 - 唯象学 · 物理学 2016-09-01 Frederick T. Hawes , Anthony G. Williams

In quenched QED we construct a non-perturbative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Bashir , M. R. Pennington

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…

核理论 · 物理学 2017-08-23 C. D. Roberts

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,…

高能物理 - 唯象学 · 物理学 2011-04-15 P. Maris
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