Uniformly accelerating observer in κ-deformed space-time

Abstract

this paper, we study the effect of κ deformation of the space-time on the response function of a uniformly accelerating detector coupled to a scalar field. Starting with κ-deformed Klein-Gordon theory, which is invariant under a κ-Poincaré algebra and written in commutative space-time, we derive κ-deformed Wightman functions, valid up to second order in the deformation parameter a. Using this, we show that the first nonvanishing correction to the Unruh thermal distribution is only in the second order in a. We also discuss various other possible sources of a-dependent corrections to this thermal distribution. © 2012 American Physical Society.