Radiation from an emitter in the ghost free scalar theory

Valeri P. Frolov; Andrei Zelnikov

doi:10.1103/PhysRevD.93.105048

paper

Radiation from an emitter in the ghost free scalar theory

arXiv:1603.00826 · doi:10.1103/PhysRevD.93.105048

Abstract

We study radiation emitted by a time-dependent source of a scalar massless field in the framework of the ghost-free modifications of the theory. We consider a simple model of the emitter: namely,we assume that it is point-like and monochromatic. We focused on the most common versions of the ghost-free theory, where the propagator $□^{- 1}$ is modified as follows $exp (- (□ / μ^{2})^{N}) □^{- 1}$ , where $μ$ is the characteristic mass-scale of such $G F_{N}$ -theory. We demonstrated that far from the source, in the wave-zone, the radiation asymptotically converges to its "classical" value for any $N \geq 1$ . However, in the near-zone the behavior of the field is quite different from the "classical" case. The difference of field amplitude for the ghost-free field and for the classical one has an oscillatory behavior in this domain. A number of oscillations increases with $N$ . The amplitude of these oscillations remain finite for even $N$ , while it infinitely grows with frequency for odd $N$ . This behavior indicates that even in the classical domain $G F_{N}$ theories might have pathological behavior.

arXiv comment10 pages, 4 Figures

Radiation from an emitter in the ghost free scalar theory

Abstract

References in corpus (27)

Cited by in corpus (30)