On the response of a particle detector in Anti-de Sitter spacetime

TL;DR

This paper investigates how a particle detector responds in Anti-de Sitter spacetime, examining effects of curvature and dimensionality on the detector's spectrum, and relating it to thermalization and temperature concepts.

Contribution

It provides a detailed analysis of the detector's response in curved spacetime, including limits on Wightman functions and a generalization of the GEMS approach.

Findings

Derived limits on Wightman functions in AdS

Analyzed detector dynamics in terms of vacuum fluctuations

Connected Gibbons-Hawking temperature to embedded Unruh temperature

Abstract

We consider the vacuum response of a particle detector in Anti-de Sitter spacetime, and in particular analyze how spacetime features such as curvature and dimensionality affect the response spectrum of an accelerated detector. We calculate useful limits on Wightman functions, analyze the dynamics of the detector in terms of vacuum fluctuations and radiation reactions, and discuss the thermalization process for the detector. We also present a generalization of the GEMS approach and obtain the Gibbons-Hawking temperature of de Sitter spacetime as an embedded Unruh temperature in a curved Anti-de Sitter spacetime.