Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum

TL;DR

This paper explores how a uniformly accelerated detector perceives the vacuum of a Dirac field in $kappa$-deformed spacetime, revealing modifications to the Unruh effect due to quantum spacetime deformation.

Contribution

It derives the $kappa$-deformed Wightman function for Dirac fields and calculates the resulting changes to the Unruh effect for the first time.

Findings

Modified response function of accelerated detector in $kappa$-spacetime

First-order correction to Unruh temperature due to deformation

New insights into quantum gravity effects on quantum field theory

Abstract

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