Onset and decay of the 1 + 1 Hawking–Unruh effect: what the derivative-coupling detector saw

Ju�rez-Aubry, Benito A.; Louko, Jorma

Abstract

We study an Unruh–DeWitt particle detector that is coupled to the proper time derivative of a real scalar field in 1 + 1 spacetime dimensions. Working within first-order perturbation theory, we cast the transition probability into a regulator- free form, and we show that the transition rate remains well defined in the limit of sharp switching. The detector is insensitive to the infrared ambiguity when the field becomes massless, and we verify explicitly the regularity of the massless limit for a static detector in Minkowski half-space. We then consider a massless field for two scenarios of interest for the Hawking–Unruh effect: an inertial detector in Minkowski spacetime with an exponentially receding mirror, and an inertial detector in (1 + 1)-dimensional Schwarzschild spacetime, in the Hartle–Hawking–Israel and Unruh vacua. In the mirror spacetime the transition rate traces the onset of an energy flux from the mirror, with the expected Planckian late time asymptotics. In the Schwarzschild spacetime the transition rate of a detector that falls in from infinity gradually loses thermality, diverging near the singularity proportionally to r−3 2.

Citation

Juárez-Aubry, B. A., & Louko, J. (2014). Onset and decay of the 1 + 1 Hawking–Unruh effect: what the derivative-coupling detector saw. Classical and Quantum Gravity, 31(24), Article 245007. https://doi.org/10.1088/0264-9381/31/24/245007

• Journal Article Type: Article
• Acceptance Date: Aug 26, 2014
• Publication Date: Nov 24, 2014
• Deposit Date: Oct 9, 2017
• Publicly Available Date: Oct 9, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 31
• Issue: 24
• Article Number: 245007
• DOI: https://doi.org/10.1088/0264-9381/31/24/245007
• Keywords: Unruh–DeWitt detector, Hawking radiation, Unruh effect; PACS numbers: 04.62.+v, 04.70.Dy, 11.10.Kk
• Public URL: https://nottingham-repository.worktribe.com/output/739309
• Publisher URL: http://iopscience.iop.org/article/10.1088/0264-9381/31/24/245007/meta
• Additional Information: Benito A Juárez-Aubry and Jorma Louko 2014 Class. Quantum Grav. 31 245007.; ; This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. The publisher is not responsible ; for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/0264-9381/31/24/245007.
• Contract Date: Oct 9, 2017