Possible Detection of Causality Violation in a Non-local Scalar Model

TL;DR

This paper explores the potential for detecting causality violation at high energies using a nonlocal scalar field theory, proposing an observable to signal such violations and analyzing its detectability range.

Contribution

It introduces a method to observe causality violation in nonlocal scalar models and assesses the energy and coupling conditions for detection.

Findings

Proposes an observable signaling causality violation.

Analyzes energy and coupling ranges for detection.

Provides a framework for experimental investigation.

Abstract

We consider the possibility that there may be causality violation detectable at higher energies. We take a scalar nonlocal theory containing a mass scale $\Lambda$ as a model example and make a preliminary study of how the causality violation can be observed. We show how to formulate an observable whose detection would signal causality violation. We study the range of energies (relative to $\Lambda$) and couplings to which the observable can be used.