Electric current from Schwinger's time-ordered propagator
High Energy Physics - Phenomenology
2026-01-21 v2 Nuclear Theory
Abstract
The quasistatic electric current density of fermions in the presence of an external electric field is determined through the utilization of a time-ordered Schwinger propagator. The study encompasses the necessary conditions for establishing a well-defined time-ordered propagator within the Schwinger formalism, specifically concentrating on constant and uniform electromagnetic fields. Within this theoretical framework, a chemical potential is introduced, resulting in non-zero values for the electric current and charge number density. Consequently, the dependence of electric conductivity on the strength of the electric field and the charge number density is investigated.
Cite
@article{arxiv.2305.12271,
title = {Electric current from Schwinger's time-ordered propagator},
author = {Cristian Villavicencio},
journal= {arXiv preprint arXiv:2305.12271},
year = {2026}
}
Comments
6 pages, 2 figures, minor corrections. To appear in Rev. Mex. Fis