Generalized LKF transformations for $N$-point fermion correlators in QED

Abstract

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 functions, deriving a generalization of the Landau-Kalatnikov-Fradkin transformations (LKFt). These transformations reveal how the non-perturbative gauge dependence of position space amplitudes can be absorbed into a multiplicative exponential factor.

Prepared for the Proceedings of the 20th Lomonosov Conference on Elementary Particle Physics, held in August 2021, based on a talk given by José Nicasio on the results of arXiv:2012.10536 [hep-th] and arXiv:2010.04160 [hep-th]

References in corpus (2)

• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator