Duffin-Kemmer-Petiau Theory in the Causal Approach

TL;DR

This paper applies the Epstein-Glaser causal approach to the scalar sector of Duffin-Kemmer-Petiau theory, deriving key scattering processes and ensuring gauge invariance, thus connecting it to standard effective scalar theories.

Contribution

It introduces a causal approach to Duffin-Kemmer-Petiau theory, deriving propagators and corrections while maintaining gauge invariance, offering a new perspective on the scalar sector.

Findings

Derived lowest order distributions for scattering processes

Reconstructed scalar propagator consistent with effective theory

Ensured gauge invariance in the causal framework

Abstract

In this paper we consider the scalar sector of Duffin-Kemmer-Petiau theory in the framework of Epstein-Glaser causal method. We calculate the lowest order distributions for Compton scattering, vacuum polarization, self-energy and vertex corrections. By requiring gauge invariance of the theory we recover, in a natural way, the scalar propagator of the usual effective theory.