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arXiv · hep-th/0701054

$κ-$Minkowski spacetime and a uniformly accelerating observer

Hyeong-Chan Kim·Jae Hyung Yee·Chaiho Rim
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Abstract

We analyze the response of a detector with a uniform acceleration $α$ in $κ-$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 $κ-$deformation. The response function deviates from the thermal distribution of Unruh temperature at the order of $1/κ$ and vanishes exponentially as the proper time of the detector exceeds a certain critical time, a logarithmic function of $κ$. This suggests that the Unruh temperature becomes not only fuzzy but also eventually decreases to zero in this model.

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Hyeong-Chan Kim, Jae Hyung Yee, Chaiho Rim. 2007-01-08. $κ-$Minkowski spacetime and a uniformly accelerating observer. https://doi.org/10.1103/physrevd.75.045017

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