Temperature versus acceleration: The Unruh effect for holographic models

Paredes, Angel; Peeters, Kasper; Zamaklar, Marija

Abstract

We analyse the effect of velocity and acceleration on the temperature felt by particles and strings in backgrounds relevant in holographic models. First, we compare accelerated strings and strings at finite temperature. We find that for fixed Unruh temperature felt by the string endpoints, the screening length is smaller for the accelerated Wilson loop than for the static one in a thermal background of the same temperature; hence acceleration provides a ``more efficient'' mechanism for melting of mesons. Secondly, we show that the velocity-dependence of the screening length of the colour force, previously obtained from a moving Wilson loop in a finite temperature background, is not specific for the string, but is a consequence of the generic fact that an observer which moves with constant velocity in a black hole background measures a velocity-dependent temperature. Finally, we analyse accelerated particles and strings in the AdS black hole background, and show that these feel a temperature which increases as a function of time. As a byproduct of our analysis we find a global Minkowski embedding for the planar AdS black hole.

Citation

Paredes, A., Peeters, K., & Zamaklar, M. (2009). Temperature versus acceleration: The Unruh effect for holographic models. Journal of High Energy Physics, 2009(04), Article 015. https://doi.org/10.1088/1126-6708/2009/04/015

• Journal Article Type: Article
• Publication Date: Apr 3, 2009
• Deposit Date: Feb 17, 2011
• Publicly Available Date: May 6, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2009
• Issue: 04
• Article Number: 015
• DOI: https://doi.org/10.1088/1126-6708/2009/04/015
• Keywords: AdS-CFT and dS-CFT Correspondence, Gauge-gravity correspondence.
• Public URL: https://durham-repository.worktribe.com/output/1511034