Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime

Abstract

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in $D$ dimensional $(D\ge 2)$ AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in $2D$ dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion.

35 pages, 6 figures

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Cited by in corpus (5)

• Decoherence and thermalization of Unruh-DeWitt detector in arbitrary dimensions
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• Accelerated paths and Unruh effect II: finite time detector response in (Anti) de Sitter spacetime and Huygen's Principle
• Energy change and Landauer's principle in the interaction between qubit and quantum field theory
• Measurement-Induced Perturbations of Hausdorff Dimension in Quantum Paths