2012/08/15 by Lee Hodgkinson, Hodgkinson, Lee, Jorma Louko +1
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.1208.3165
We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime, within first-order perturbation theory. We first obtain a causal and manifestly regular expression for the instantaneous transition rate in an arbitrary Hadamard state. We then specialise to the Bañados-Teitelboim-Zanelli black hole and to a massless conformally coupled field in the Hartle-Hawking vacuum. A co-rotating detector responds thermally in the expected local Hawking temperature, while a freely-falling detector shows no evidence of thermality in regimes that we are able to probe, not even far from the horizon. The boundary condition at the asymptotically anti-de Sitter infinity has a significant effect on the transition rate.