Non-perturbative method for particle detectors with continuous interactions

TL;DR

This paper introduces a non-perturbative computational method using trains of delta couplings to efficiently approximate continuous detector interactions, enabling accurate analysis of particle detector phenomena.

Contribution

The authors propose a novel delta-coupling train approach that converges rapidly to continuous results, facilitating non-perturbative analysis of particle detectors with continuous switching.

Findings

Efficient approximation of continuous switching functions using delta train profiles.

Rapid convergence to continuous results at all perturbation orders.

Applicable to single and multiple detector setups.

Abstract

We show that detector switching profiles consisting of trains of delta couplings are a useful computational tool to efficiently approximate results involving continuous switching functions, both in setups involving a single detector and multiple ones. The rapid convergence to the continuous results at all orders in perturbation theory for sufficiently regular switchings means that this tool can be used to obtain non-perturbative results for general particle detector phenomena with continuous switching functions.