Vacuum fluctuations in theories with deformed dispersion relations

Understand

We examine vacuum fluctuations in theories with modified dispersion relations which represent dimensional reduction at high energies.

• By changing units of energy and momentum we can obtain a description rendering the dispersion relations undeformed and transferring all the non-trivial effects to the integration measure in momentum space.
• Using this description we propose a general quantization procedure, which should be applicable whether or not the theory explicitly introduces a preferred frame.
• Based on this scheme we evaluate the power spectrum of quantum vacuum fluctuations.