Asymptotics of Regulated Field Commutators for Einstein-Rosen Waves

TL;DR

This paper analyzes the asymptotic behavior of regulated field commutators in Einstein-Rosen waves, focusing on how a physical cut-off influences microcausality and quantum gravity effects.

Contribution

It provides a detailed mathematical analysis of the effects of a physical regulator on the microcausality in cylindrically symmetric gravitational waves.

Findings

Regulator impacts the asymptotic behavior of field commutators.

Quantum gravity effects can be distinguished from regulator-induced effects.

Different physical regimes are affected differently by the cut-off.

Abstract

We discuss the asymptotic behavior of regulated field commutators for linearly polarized, cylindrically symmetric gravitational waves and the mathematical techniques needed for this analysis. We concentrate our attention on the effects brought about by the introduction of a physical cut-off in the study of the microcausality of the model and describe how the different physically relevant regimes are affected by its presence. Specifically we discuss how genuine quantum gravity effects can be disentangled from those originating in the introduction of a regulator.