Dynamical locality of the nonminimally coupled scalar field and enlarged algebra of Wick polynomials

TL;DR

This paper investigates the property of dynamical locality in two quantum field theories, demonstrating its validity in nonminimally coupled and enlarged Wick polynomial algebras across various coupling cases.

Contribution

It establishes dynamical locality for the nonminimally coupled scalar field and the enlarged algebra of Wick polynomials in multiple coupling scenarios.

Findings

Dynamical locality holds in nonminimally coupled scalar field theory.

Dynamical locality is confirmed for enlarged algebra in minimally coupled massive case.

Dynamical locality is established for conformally coupled massive case.

Abstract

We discuss dynamical locality in two locally covariant quantum field theories, the nonminimally coupled scalar field and the enlarged algebra of Wick polynomials. We calculate the relative Cauchy evolution of the enlarged algebra, before demonstrating that dynamical locality holds in the nonminimally coupled scalar field theory. We also establish dynamical locality in the enlarged algebra for the minimally coupled massive case and the conformally coupled massive case.