Scalar Charges in a Self-Dual Background

Seth Grable; Jamison Barcelona

Scalar Charges in a Self-Dual Background

High Energy Physics - Theory 2026-07-08 v1

Authors: Seth Grable , Jamison Barcelona

Abstract

In this work, we present a $3+1d$ scalar QED model in a constant self-dual magnetic field configuration. We provide exact closed form analytic calculations of the partition function, the $\beta$ -function, and the propagators. To our knowledge, we present the first closed-form finite expression for the matter field propagators in a self-dual background, which is made accessible by working entirely in the Landau level basis. This theory serves as a toy model for charged particles in parallel electric and magnetic fields, with natural extensions to studies of $3+1d$ chiral magnetic effects and pulsar physics.

Cite

@article{arxiv.2607.07938,
  title  = {Scalar Charges in a Self-Dual Background},
  author = {Seth Grable and Jamison Barcelona},
  journal= {arXiv preprint arXiv:2607.07938},
  year   = {2026}
}