Unruh-DeWitt detector response across a Rindler firewall is finite

Louko, Jorma (2014) Unruh-DeWitt detector response across a Rindler firewall is finite. Journal of High Energy Physics, 2014 (9). ISSN 1029-8479

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Abstract

We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in (1 + 1)-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al. have argued to ensue in an evaporating black hole spacetime. Within first-order perturbation theory, we show that the detector’s response on falling through the horizon is sudden but finite. The difference from the Minkowski vacuum response is proportional to ω−2 ln(|ω|) for the non-derivative detector and to ln(|ω|) for the derivative-coupling detector, both in the limit of a large energy gap ω and in the limit of adiabatic switching. Adding to the quantum state high Rindler temperature excitations behind the horizon increases the detector’s response proportionally to the temperature; this situation has been suggested to model the energetic curtain proposal of Braunstein et al. We speculate that the (1 + 1)-dimensional derivative-coupling detector may be a good model for a non-derivative detector that crosses a firewall in 3 + 1 dimensions.

Item Type: Article
Keywords: Models of Quantum Gravity, Black Holes, Field Theories in Lower Dimensions
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1007/JHEP09(2014)142
Depositing User: Eprints, Support
Date Deposited: 10 Oct 2017 11:08
Last Modified: 14 Oct 2017 08:28
URI: http://eprints.nottingham.ac.uk/id/eprint/47126

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