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Related papers: Landau-Khalatnikov-Fradkin transformations in Redu…

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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…

High Energy Physics - Theory · Physics 2017-04-19 Shaoyang Jia , M. R. Pennington

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…

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

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…

High Energy Physics - Theory · Physics 2026-05-15 Anam Ashraf , Faisal Akram , M. Jamil Aslam , Dania Rodríguez-Tzintzun , Adnan Bashir , Luis Albino

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…

High Energy Physics - Phenomenology · Physics 2025-02-07 Anam Ashraf , M. Jamil Aslam , Faisal Akram , Adnan 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…

High Energy Physics - Theory · Physics 2020-02-20 A. James , A. V. Kotikov , S. Teber

Within the worldline approach to quantum electrodynamics (QED), a change of the photon's covariant gauge parameter $\xi$ is investigated to analyse the non-perturbative gauge dependence of the configuration space fermion correlation…

High Energy Physics - Theory · Physics 2022-09-21 José Nicasio , Christian Schubert , Naser Ahmadiniaz , James P. Edwards

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…

High Energy Physics - Theory · Physics 2021-07-21 Naser Ahmadiniaz , James P. Edwards , José Nicasio , Christian Schubert

We apply the worldline formalism to amplitudes in scalar quantum electrodynamics (QED) involving open scalar lines, with an emphasis on their non-perturbative gauge dependence. At the tree-level, we study the scalar propagator interacting…

High Energy Physics - Phenomenology · Physics 2016-02-24 Naser Ahmadiniaz , Adnan Bashir , Christian Schubert

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

Gauge covariance properties of the scalar propagator in spinless/scalar quantum electrodynamics (SQED) are explored in the light of the corresponding Landau-Khalatnikov-Fradkin transformation (LKFT). These transformations are non…

The Landau-Khalatnikov-Fradkin (LKF) transformation is a powerful and elegant transformation allowing to study the gauge dependence of the propagator of charged particles interacting with gauge fields. With the help of this transformation,…

High Energy Physics - Theory · Physics 2019-11-21 A. V. Kotikov , S. Teber

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 the transformation of the dressed electron propagator and the general $N$-point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin…

High Energy Physics - Theory · Physics 2020-12-22 José Nicasio , James P. Edwards , Christian Schubert , Naser Ahmadiniaz

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…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop…

High Energy Physics - Theory · Physics 2021-11-24 Pietro Dall'Olio , Tim De Meerleer , David Dudal , Silvio Paolo Sorella , Adnan Bashir

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…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Bashir , R. Delbourgo

We apply the worldline formalism to scalar quantum electrodynamics (QED) to find a Bern-Kosower type master formula for generalized Compton scattering, on-shell and off-shell. Moreover, we use it to study the non-perturbative gauge…

High Energy Physics - Phenomenology · Physics 2017-04-05 Naser Ahmadiniaz , Adnan Bashir , Christian Schubert

The Landau-Khalatnikov-Fradkin transformations (LKFTs) allow to interpolate $n$-point functions between different gauges. We first offer an alternative derivation of these LKFTs for the gauge and fermions field in the Abelian (QED) case…

High Energy Physics - Theory · Physics 2018-04-25 T. De Meerleer , D. Dudal , S. P. Sorella , P. Dall'Olio , A. Bashir

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to…

High Energy Physics - Theory · Physics 2022-08-12 Juan Angel Casimiro Olivares , Ana Julia Mizher , Alfredo Raya

The Landau-Khalatnikov-Fradkin transformations (LKFTs) represent an important tool for probing the gauge dependence of the correlation functions within the class of linear covariant gauges. Recently these transformations have been derived…

High Energy Physics - Theory · Physics 2020-04-22 Tim De Meerleer , David Dudal , Silvio Paolo Sorella , Pietro Dall'Olio , Adnan Bashir
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