First Order Corrections to the Unruh Effect

Abstract

First order corrections to the Unruh effect are calculated from a model of an accelerated particle detector of finite mass. We show that quantum smearing of the trajectory and large recoil essentially do not modify the Unruh effect. Nevertheless, we find corrections to the thermal distribution and to the Unruh temperature. In a certain limit, when the distribution at equilibrium remains exactly thermal, the corrected temperature is found to be $T=T_U(1-T_U/M)$, where $T_U$ is the Unruh temperature. We estimate the consequent corrections to the Hawking temperature and the black hole entropy, and comment on the relationship to the problem of trans-planckian frequencies.

23 pages, LaTex

References in corpus (1)

• Introduction to Black Hole Microscopy

Cited by in corpus (9)

• The Unruh effect and its applications
• Is there Unruh radiation?
• The Schwinger Mechanism, the Unruh Effect and the Production of Accelerated Black Holes
• Quantum charged fields in Rindler space
• Unruh Effect of Detectors with Quantized Center-of-Mass
• Interacting Charged Particles in an Electric Field and the Unruh Effect
• Time dependent perturbation theory from Wheeler De Witt solutions
• Casimir forces and quantum friction of finite-size atoms in relativistic trajectories
• Implications of maximum acceleration on dynamics