Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-21
JHEP0410:030,2004
Physics
High Energy Physics
High Energy Physics - Theory
18 + 8 pages, 5 figures. v2: reference added
Scientific paper
10.1088/1126-6708/2004/10/030
Finite entropy thermal systems undergo Poincare recurrences. In the context of field theory, this implies that at finite temperature, timelike two-point functions will be quasi-periodic. In this note we attempt to reproduce this behavior using the AdS/CFT correspondence by studying the correlator of a massive scalar field in the bulk. We evaluate the correlator by summing over all the SL(2,Z) images of the BTZ spacetime. We show that all the terms in this sum receive large corrections after at certain critical time, and that the result, even if convergent, is not quasi-periodic. We present several arguments indicating that the periodicity will be very difficult to recover without an exact re-summation, and discuss several toy models which illustrate this. Finally, we consider the consequences for the information paradox.
Kleban Matthew
Porrati Massimo
Rabadan Raul
No associations
LandOfFree
Poincare Recurrences and Topological Diversity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Poincare Recurrences and Topological Diversity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincare Recurrences and Topological Diversity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-278462