Superradiance in a ghost-free scalar theory

TL;DR

This paper investigates superradiance in a ghost-free scalar theory, showing that amplification occurs under superradiance conditions and that non-locality can significantly alter the amplification's frequency dependence.

Contribution

It introduces a ghost-free model for superradiance, analyzing scattering on a rotating cylinder with a delta-like potential, and compares local and non-local effects on amplification.

Findings

Superradiance occurs when the standard condition is met in both models.

Amplification coefficient exceeds 1 in both local and non-local models.

Non-locality significantly modifies the frequency dependence of amplification.

Abstract

We study superradiance effect in the ghost-free theory. We consider a scattering of a ghost-free scalar massless field on a rotating cylinder. We assume that cylinder is thin and empty inside, so that its interaction with the field is described by a delta-like potential. This potential besides the real factor, describing its height, contains also imaginary part, responsible for the absorption of the field. By calculating the scattering amplitude we obtained the amplification coefficient both in the local and non-local (ghost-free) models and demonstrated that in the both cases it is greater than 1 when the standard superradiance condition is satisfied. We also demonstrated that dependence of the amplification coefficient on the frequency of the scalar field wave may be essentially modified in the non-local case.