Uniformly accelerated detector in the $κ$-deformed Dirac vacuum

In this paper, we investigate how a uniformly accelerated detector responds to vacuum state of a Dirac field in the $κ$-Minkowski space-time. Starting from $κ$-deformed Dirac theory, which is invariant under $κ$-Poincare algebra, we derive $κ$-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 $κ$-spacetime. From this, we obtain the modification to Unruh effect for the $κ$-deformed Dirac field, valid up to first order in the deformation parameter.

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