$\kappa -$Minkowski spacetime and a uniformly accelerating observer

Abstract

We analyze the response of a detector with a uniform acceleration $\alpha$ in $\kappa -$Minkowski spacetime using the first order perturbation theory. The monopole detector is coupled to a massless complex scalar field in such a way that it is sensitive to the Lorentz violation due to the noncommutativity of spacetime present in the $\kappa -$deformation. The response function deviates from the thermal distribution of Unruh temperature at the order of $1/\kappa$ and vanishes exponentially as the proper time of the detector exceeds a certain critical time, a logarithmic function of $\kappa$. This suggests that the Unruh temperature becomes not only fuzzy but also eventually decreases to zero in this model.

13 pages, 2 figures

References in corpus (1)

• A Gravity Theory on Noncommutative Spaces

Cited by in corpus (5)

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• Blackbody radiation in κ-Minkowski spacetime