학술논문

Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
Document Type
Working Paper
Source
Phys. Rev. D 103, 085010 (2021)
Subject
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Physics - Classical Physics
Language
Abstract
We examine the influence of the dispersion relation on the Unruh effect by Lorentz boosting the phase of Minkowski vacuum fluctuations endowed with an arbitrary dispersion relation. We find that, unlike what happens with a linear dispersion relation exhibited by massless fields, thermality is lost for general dispersion relations. We show that thermality emerges with a varying "apparent" Davies-Unruh temperature depending on the acceleration of the observer and on the degree of departure from linearity of the dispersion relation. The approach has the advantage of being intuitive and able to pinpoint why such a loss of thermality occurs and when such a deviation from thermality becomes significant. We discuss the link of our results with the well-known fundamental difference between the thermalization theorem and the concept of Rindler noise. We examine the possible experimental validation of our results based on a successful setup for testing the classical analogue of the Unruh effect recently described in the literature.
Comment: 13 pages, no figures. To appear in PRD