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We present the results of studies [1,2] of 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…

高能物理 - 理论 · 物理学 2023-05-30 A. V. Kotikov

We carry out a comprehensive analysis of the Landau-Khalatnikov-Fradkin transformations for a charged fermion propagator at the two-loop level in quantum electrodynamics (QED). Starting with an arbitrary covariant gauge $\xi$ and space-time…

高能物理 - 唯象学 · 物理学 2025-02-07 Anam Ashraf , M. Jamil Aslam , Faisal Akram , Adnan Bashir

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…

高能物理 - 理论 · 物理学 2020-07-22 V. P. Gusynin , A. V. Kotikov , S. Teber

We study the gauge covariance of the massive fermion propagator in three as well as four dimensional Quantum Electrodynamics (QED). Starting from its value at the lowest order in perturbation theory, we evaluate a non-perturbative…

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

For massless quenched QED in three dimensions, we evaluate a non-perturbative expression for the fermion propagator which agrees with its two loop perturbative expansion in the weak coupling regime. This calculation is carried out by making…

高能物理 - 理论 · 物理学 2009-10-31 A. Bashir

We study the gauge-covariance of the massless fermion propagator in reduced Quantum Electrodynamics (QED). Starting from its value in some gauge, we evaluate an all order expression for it in another gauge by means of the…

高能物理 - 理论 · 物理学 2020-02-20 A. James , A. V. Kotikov , S. Teber

We present a comprehensive analysis of the Landau-Khalatnikov-Fradkin transformations for the charged fermion propagator in reduced quantum electrodynamics (RQED). Starting from the propagator in a reference gauge, we perform a gauge…

高能物理 - 理论 · 物理学 2026-05-15 Anam Ashraf , Faisal Akram , M. Jamil Aslam , Dania Rodríguez-Tzintzun , Adnan Bashir , Luis Albino

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 compute the two-loop fermion self-energy in massless reduced quantum electrodynamics (RQED) for an arbitrary gauge in the case where the photon field is three-dimensional and the fermion field two-dimensional: super-renormalizable…

高能物理 - 唯象学 · 物理学 2014-04-01 S. Teber

It is well known how multiplicative renormalizability of the fermion propagator, through its Schwinger-Dyson equation, imposes restrictions on the 3-point fermion-boson vertex in massless quenched quantum electrodynamics in 4-dimensions…

高能物理 - 唯象学 · 物理学 2016-09-06 A. Bashir , R. Delbourgo

This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the…

高能物理 - 理论 · 物理学 2016-12-20 Henry Kißler , Dirk Kreimer

We explore the dependence of fermion propagators on the covariant gauge fixing parameter in quantum electrodynamics (QED) with the number of spacetime dimensions kept explicit. Gauge covariance is controlled by the the…

高能物理 - 理论 · 物理学 2017-04-19 Shaoyang Jia , M. R. Pennington

The fermion propagator in an arbitrary covariant gauge can be obtained from the Landau gauge result via a Landau-Khalatnikov-Fradkin transformation. This transformation can be written in a practically useful form in both configuration and…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bashir , A. Raya , S. Sanchez-Madrigal , C. D. Roberts

We evaluate the analytic expression for the one-loop fermion-boson vertex in massless QED3 in an arbitrary covariant gauge. The result is written in terms of elementary functions of its momenta. The vertex is decomposed into a longitudinal…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bashir , A. Kizilersu , M. 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…

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

We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting…

高能物理 - 唯象学 · 物理学 2008-12-18 A. Bashir , A. Raya , S. Sanchez-Madrigal

We present the analytic expressions of the three-loop virtual corrections to the helicity amplitudes of 2 -> 2 four-fermion scattering processes in massless QED. The contributing Feynman diagrams are grouped into integrand families…

高能物理 - 唯象学 · 物理学 2026-02-12 Giulio Crisanti , Thomas Dave , Pierpaolo Mastrolia , Jonathan Ronca , Sid Smith , William J. Torres Bobadilla

We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study the dressed electron propagator (allowing for emission or absorption of any number of…

高能物理 - 理论 · 物理学 2021-07-21 Naser Ahmadiniaz , James P. Edwards , José Nicasio , Christian Schubert

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

We revisit the proof of equivalence of one loop expressions for fermion self-energy and vertex correction in light-front QED and Covariant QED at the Feynman diagram level and generalize, to all components, the proof of equivalence for the…

高能物理 - 理论 · 物理学 2018-07-11 Deepesh Bhamre , Anuradha Misra , Vivek Kumar Singh
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