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Related papers: Generalized LKF transformations for $N$-point ferm…

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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 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 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

We derive the Landau-Khalatnikov-Frandkin transformation (LKFT) for the fermion propagator in quantum electrodynamics (QED) described within a brane-world inspired framework where photons are allowed to move in $d_\gamma$ space-time (bulk)…

High Energy Physics - Phenomenology · Physics 2016-06-08 A. Ahmad , J. J. Cobos-Martínez , Y. Concha-Sánchez , A. Raya

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

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

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

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

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

We study the Landau-Khalatnikov-Fradkin transformations (LKFT) in momentum space for the dynamically generated mass function in QED3. Starting from the Landau gauge results in the rainbow approximation, we construct solutions in other…

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

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

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bashir , A. Raya , S. Sanchez-Madrigal , C. D. Roberts

This paper reports on our diagrammatic approach to characterize the gauge dependence of Quantum Electrodynamics in the linear covariant gauge. Our dimensionally independent technique is purely based on a perturbative analysis and allows us…

High Energy Physics - Theory · Physics 2018-08-02 Henry Kißler

We study the gauge covariance of the fermion-photon vertex in quenched, massless 3-dimensional quantum electrodynamics. A class of vertex Ans\"{a}tze obtained by generalizing that proposed by Dong et al. is tested using the invariance of…

High Energy Physics - Theory · Physics 2007-05-23 Paulus C. Tjiang , Conrad J. Burden

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

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. S. Chabysheva , J. R. Hiller

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

Our present contribution sets out to investigate a scenario based on the effects of the Loop Quantum Gravity (LQG) on the electromagnetic sector of the Standard Model of Fundamental Interactions and Particle Physics (SM). Starting then from…

High Energy Physics - Theory · Physics 2025-11-18 P. A. L. Mourão , G. L. L. W. Levy , J. A. Helayël-Neto
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