Waveform, memory and classical soft scalar theorems

TL;DR

This paper investigates scalar waveforms and memory effects in particle scattering mediated by long-range massless scalar forces, deriving subleading terms and discussing classical soft theorems using worldline formalism.

Contribution

It introduces a novel calculation of subleading scalar waveform terms and memory effects in scalar-mediated scattering processes, expanding understanding of classical soft scalar theorems.

Findings

Derived infinite series of subleading waveform terms

Analyzed scalar memory and soft theorems

Discussed challenges of including gravity

Abstract

We examine a scattering process in which a set of particles come together, interact through a long-range massless scalar force like dilaton mediated and then disperse. Using worldline formalism, we compute the trajectories of the scattered particles and derive an infinite series of subleading terms in the late-time and early-time expansion of the scalar waveform. We study the scalar waveform, the scalar memory term and classical soft scalar theorems. We ignore gravitational interactions and discuss the challenges if we include it.