Quantum field theoretic effects with modified dispersion relations

As is well-known, free and massless fields are governed by the linear
dispersion relation in Minkowski spacetime. It is possible that quantum
gravitational effects may break Lorentz invariance at high energies,
thereby leading to a modification of the dispersion relation beyond some
fundamental scale. In this work, we study the response of a rotating
monopole detector that is coupled linearly to a massless scalar field
which is described by a non-linear dispersion relation in flat spacetime.
Since it does not seem to be possible to evaluate the response of the
rotating detector analytically, we resort to numerical computations.
Further, we show that the response of the rotating detector can be
computed exactly even when it is coupled to a field that is governed by a
non-linear dispersion relation.