Uniformly accelerated detector in the $\hat{I}º$-deformed Dirac vacuum

Abstract

In this paper, we investigate how a uniformly accelerated detector responds to vacuum state of a Dirac field in the $\hat{I}º$-Minkowski space-time. Starting from $\hat{I}º$-deformed Dirac theory, which is invariant under $\hat{I}º$-Poincare algebra, we derive $\hat{I}º$-deformed Wightmann function for Dirac field, which is valid up to first order in the deformation parameter $a$. Using this, we calculate the response function of the uniformly accelerated detector, which is coupled to massless Dirac field in $\hat{I}º$-spacetime. From this, we obtain the modification to Unruh effect for the $\hat{I}º$-deformed Dirac field, valid up to first order in the deformation parameter.

16 pages, to appear in Mod. Phys. Lett. A