The Causal Action in Minkowski Space and Surface Layer Integrals

TL;DR

This paper computes the causal action's Lagrangian in Minkowski space for Dirac wave functions interacting with electromagnetism and gravity, analyzing surface layer integrals as the ultraviolet cutoff is removed.

Contribution

It provides explicit calculations of the causal action and surface layer integrals in a limiting case, advancing the understanding of causal action principles in Minkowski space.

Findings

Explicit form of the Lagrangian in the limiting case

Computed surface layer integrals in Minkowski space

Insights into the behavior of the causal action without ultraviolet cutoff

Abstract

The Lagrangian of the causal action principle is computed in Minkowski space for Dirac wave functions interacting with classical electromagnetism and linearized gravity in the limiting case when the ultraviolet cutoff is removed. Various surface layer integrals are computed in this limiting case.