Pauli-Villars Regularization Elucidated in Bopp-Podolsky's Generalized Electrodynamics
Abstract
We discuss an inherent Pauli-Villars regularization in Bopp-Podolsky's generalized electrodynamics. Introducing gauge-fixing terms for Bopp-Podolsky's generalized electrodynamic action, we realize a unique feature for the corresponding photon propagator with a built-in Pauli-Villars regularization independent of the gauge choice made in Maxwell's usual electromagnetism. According to our realization, the length dimensional parameter associated with Bopp-Podolsky's higher order derivatives corresponds to the inverse of the Pauli-Villars regularization mass scale , i.e. . Solving explicitly the classical static Bopp-Podolsky's equations of motion for a specific charge distribution, we explore the physical meaning of the parameter in terms of the size of the charge distribution. As an offspring of the generalized photon propagator analysis, we also discuss our findings regarding on the issue of the two-term vs. three-term photon propagator in light-front dynamics.
Cite
@article{arxiv.1902.07632,
title = {Pauli-Villars Regularization Elucidated in Bopp-Podolsky's Generalized Electrodynamics},
author = {Chueng-Ryong Ji and Alfredo T. Suzuki and Jorge H. O. Sales and Ronaldo Thibes},
journal= {arXiv preprint arXiv:1902.07632},
year = {2020}
}