Superluminal dispersion relations and the Unruh effect

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Final discussion expanded, references added. Version accepted for publication in Phys Rev D

Scientific paper

10.1103/PhysRevD.77.124029

In the context of quantum gravity phenomenology, we study the Unruh effect in the presence of superluminal dispersion relations. In particular, we estimate the response function and the probability rate for an accelerated detector coupled to a massless scalar field, whose dispersion relation becomes essentially quadratic beyond a threshold momentum $k_p$. By means of perturbative analysis, we show that superluminal dispersion induces a correction to the Planckian spectrum, which tends to vanish as $k_p$ increases.

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