One-loop QED vertex in any covariant gauge: Its complete analytic form

Kızılersü, Ayşe; Reenders, Manuel; Pennington, M.R.

doi:10.1103/physrevd.52.1242

Cited by 104 publications

(169 citation statements)

References 18 publications

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“…i.e., damping in agreement with one-loop perturbation theory [46,47]. In building an Ansatz, it is natural to insist on such correspondences with perturbation theory.…”

Section: A One-loop Perturbation Theorymentioning

confidence: 99%

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

et al. 2012

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We present a workable model for the fermion-photon vertex, which is expressed solely in terms of functions that appear in the fermion propagator and independent of the angle between the relative momenta, and does not explicitly depend on the covariant-gauge parameter. It nevertheless produces a critical coupling for dynamical chiral symmetry breaking that is practically independent of the covariant-gauge parameter and an anomalous magnetic moment distribution for the dressed fermion that agrees in important respects with realistic numerical solutions of the inhomogeneous vector Bethe-Salpeter equation.

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“…i.e., damping in agreement with one-loop perturbation theory [46,47]. In building an Ansatz, it is natural to insist on such correspondences with perturbation theory.…”

Section: A One-loop Perturbation Theorymentioning

confidence: 99%

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

et al. 2012

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“…One then applies the transversality condition Q µ Γ µ (k, Q) = 0, which leads to four constraints that have to be solved so that no kinematic singularities are introduced in the process. The resulting eight transverse tensors are given by [691,708,709] where t µν AB = A·B δ µν −B µ A ν and the three-commutator is defined in Eq. (A.11).…”

Section: B Quark-photon Vertex and Hadronic Vacuum Polarizationmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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“…Later, the same vertex was calculated in Yennie-Fried gauge [2]. The extension of the Ball-Chiu results to an arbitrary covariant gauge was carried out in [3]. In three dimensional spinor QED, the massive and massless vertex in an arbitrary covariant gauge was obtained in [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism

2017

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We apply the worldline formalism to scalar quantum electrodynamics (QED) to find a BernKosower type master formula for generalized Compton scattering, on-shell and off-shell. Moreover, we use it to study the non-perturbative gauge parameter dependence of amplitudes in scalar QED and, as our main result, find a simple non-perturbative transformation rule under changes of this parameter in x-space in terms of conformal cross ratios. This generalizes the well-known Landau-Khalatnikov-Fradkin transformation (LKFT). We also exemplify how the LKFT works in perturbation theory.

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One-loop QED vertex in any covariant gauge: Its complete analytic form

Cited by 104 publications

References 18 publications

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

Baryons as relativistic three-quark bound states

Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism

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