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Related papers: The Generalised LKF Transformations for Arbitrary …

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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 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 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 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 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

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

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 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 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 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

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

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

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…

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 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

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

We show an exact formula obtained in [1], which relates hatted and standard zeta-values to all orders of perturbation theory. The formula is based on the Landau-Khalatnikov-Fradkin (LKF) transformation between the massless propagators of…

High Energy Physics - Theory · Physics 2020-10-28 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

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
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