New relations between spinor and scalar one-loop effective Lagrangians in constant background fields

TL;DR

This paper introduces new mathematical relations connecting the one-loop effective Lagrangians of spinor and scalar particles in constant electromagnetic and gravitational fields, extending beyond previously known special cases.

Contribution

It presents novel relations between spinor and scalar one-loop effective Lagrangians in general constant background fields, surpassing the limitations of self-dual cases.

Findings

New relations between spinor and scalar effective Lagrangians

Applicable to both electromagnetic and gravitational backgrounds

Extends beyond self-dual field cases

Abstract

Simple new relations are presented between the one-loop effective Lagrangians of spinor and scalar particles in constant curvature background fields, both electromagentic and gravitational. These relations go beyond the well-known cases for self-dual background fields.