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Related papers: A gauge covariant approximation to QED

200 papers

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…

High Energy Physics - Phenomenology · Physics 2010-03-04 Zhihua Dong , Herman J. Munczek , Craig D. Roberts

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

We study the dimensionally regularized fermion propagator Dyson-Schwinger equation in quenched nonperturbative QED in an arbitrary covariant gauge using the Curtis-Pennington vertex and perform nonperturbative renormalization numerically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas W. Schreiber , Tom Sizer , Anthony G. Williams

We study the dimensionally regularized fermion propagator Dyson-Schwinger equation in quenched nonperturbative QED. We work in arbitrary covariant gauge and perform nonperturbative renormalization numerically. The nonperturbative fermion…

High Energy Physics - Phenomenology · Physics 2009-08-11 Andreas W. Schreiber , Tom Sizer , Anthony G. Williams

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…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

With the introduction of a spectral representation, the Schwinger--Dyson equation (SDE) for the fermion propagator is formulated in Minkowski space in QED. After imposing the on-shell renormalization conditions, numeric solutions for the…

Nuclear Theory · Physics 2025-01-03 Shaoyang Jia , Michael R. Pennington

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…

High Energy Physics - Theory · Physics 2024-08-27 O Oliveira , T Frederico , W de Paula

We derive the gauge covariance requirement imposed on the QED fermion-photon three-point function within the framework of a spectral representation for fermion propagators. When satisfied, such requirement ensures solutions to the fermion…

Nuclear Theory · Physics 2017-01-04 Shaoyang Jia , M. R. Pennington

Quantum electrodynamics in three dimensions in the bispinor formulation is considered. It is shown that the Dyson-Schwinger equations for fermion and boson propagators may be self-consistently solved in the infrared domain if on uses the…

High Energy Physics - Theory · Physics 2015-06-12 Tomasz Radozycki

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,…

High Energy Physics - Phenomenology · Physics 2015-05-30 Adnan Bashir , Alfredo Raya , Saul Sanchez-Madrigal

With the introduction of a spectral representation, the Schwinger-Dyson equation (SDE) for the fermion propagator is formulated in Minkowski space in QED. After imposing the on-shell renormalization conditions, analytic solutions for the…

Nuclear Theory · Physics 2017-09-06 Shaoyang Jia , M. R. Pennington

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…

High Energy Physics - Phenomenology · Physics 2016-09-01 Frederick T. Hawes , Anthony G. Williams

In the quenched approximation, the gauge covariance properties of three vertex Ans\"{a}tze in the Schwinger-Dyson equation for the fermion self energy are analysed in three- and four- dimensional quantum electrodynamics. Based on the…

High Energy Physics - Theory · Physics 2010-03-04 Conrad J. Burden , Craig D. Roberts

We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched perturbative…

High Energy Physics - Theory · Physics 2020-07-22 V. P. Gusynin , A. V. Kotikov , S. Teber

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…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders

We study renormalized quenched strong-coupling QED in four dimensions in arbitrary covariant gauge. Above the critical coupling leading to dynamical chiral symmetry breaking, we show that there is no finite chiral limit. This behaviour is…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Tom Sizer , Anthony G. Williams

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…

High Energy Physics - Lattice · Physics 2008-11-26 A. G. Williams , F. T. Hawes

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…

High Energy Physics - Theory · Physics 2009-08-11 A. Bashir , A. Raya

A nonperturbative approach to 2D covariant gauge QCD is presented in the context of the Schwinger-Dyson equations for quark and ghost propagators and the corresponding Slavnov-Taylor identities. The distribution theory, complemented by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia , Gy. Kluge

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
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