Scalar Radiation in Interaction of Cosmic String with Point Charge

Pavel Spirin

doi:10.3390/universe7070206

Abstract

We consider the scalar bremsstrahlung of the spinless relativistic particle, which interacts with infinitely thin cosmic string by linearized gravity. With the iterational scheme, based on the Perturbaion Theory with respect to the Newtonian constant, we compute the radiation amplitude and the emitted energy due to collision. The general phenomenon of mutual cancellation of the leading terms on the local and non-local amplitude, known in the ultrarelativistic regime for several types of collision, also takes place here. Remarkably, this cancellation (destructive interference) is complete, and takes place for any particle’s velocity. We compute the spectral and angular distributions of the emitted waves. Particular attention is paid to the ultrarelativistic case. Due to the radiation emission, a string may lose its energy and decrease the tension; it may affect all field effects, including the vacuum polarization and the Casimir effect, in terms of physical problems with the real cosmic strings.

Highlights

Over the past forty years, various cosmological scenarios have been proposed for the explanation of the stages of the Early Universe
We consider the scalar bremsstrahlung of the spinless relativistic particle, which interacts with infinitely thin cosmic string by linearized gravity
Among them are the cosmological models, which admit the existence of relativistic gravitating objects with non-trivial codimensionality [3,4,5,6] and braneworld scenarios, which consider the four-dimensional Universe as being embedded into some higher-dimensional spacetime with non-trivial topology [7,8]

Summary

Introduction

Over the past forty years, various cosmological scenarios have been proposed for the explanation of the stages of the Early Universe All these models try to explain the observable data, including the Cosmic Microwave Background and (since 2016) the gravitational wave detections. Radiation emission represents a collective effect of the system “string–particle”, where the string may lose its energy It decreases the tension, it may change the quantitative estimates of the field effects, which contain the string’s tension as the fieldstrength coupling [17,18,19,20,23] including the vacuum polarization [26,27] and the Casimir effects [21,22,26], in diverse physical problems with cosmic strings. The string’s inner coordinates σ on the worldsheet have initial small Latin indices, which take the values 0 and 1

The Setup

Approximation Method

Emitted Energy

Conclusions