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Unruh-DeWitt detector response across a Rindler firewall is finite

Louko, Jorma

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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.

Citation

Louko, J. (2014). Unruh-DeWitt detector response across a Rindler firewall is finite. Journal of High Energy Physics, 2014(9), https://doi.org/10.1007/JHEP09%282014%29142

Journal Article Type Article
Acceptance Date Aug 29, 2014
Publication Date Sep 24, 2014
Deposit Date Oct 10, 2017
Publicly Available Date Oct 10, 2017
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2014
Issue 9
DOI https://doi.org/10.1007/JHEP09%282014%29142
Keywords Models of Quantum Gravity, Black Holes, Field Theories in Lower Dimensions
Public URL http://eprints.nottingham.ac.uk/id/eprint/47126
Publisher URL https://link.springer.com/article/10.1007%2FJHEP09%282014%29142
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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