Radiation from an emitter in the ghost free scalar theory

Understand

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 $\Box^{-1}$ is modified as follows $\exp(-(\Box/\mu^2)^N) \Box^{-1}$, where $\mu$ is the characteristic mass-scale of such $GF_N$-theory.
• We demonstrated that far from the source, in the wave-zone, the radiation asymptotically converges to its "classical" value for any $N\ge 1$.