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.
Highlights
In this paper we discuss the superradiance effect in a ghost-free theory
Zel’dovich realized that in the quantum physics there should exist a similar effect of spontaneous emission from vacuum of quanta satisfying the superradiance condition (1.1)
We considered scattering of a ghost-free scalar massless field by a rotating cylinder, and demonstrated that in the presence of absorption of the wave by the cylinder, its amplitude can be amplified
Summary
In this paper we discuss the superradiance effect in a ghost-free theory. The effect of amplification of the waves by rotating black holes was studied in [4,5,6], while Unruh [7] demonstrated the existence of the quantum spontaneous superradiance emission by direct calculations. Our purpose is to study the superradiance effect in the framework of the ghost-free theory. In such a theory the field equations are modified by introducing a nonlocal form factor.
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