On memory in exponentially expanding spaces
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Roberts_On memory.pdf
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Author(s)
Stanford, Douglas
Roberts, Daniel Adam
Date Issued
June 2013
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Roberts, Daniel A., and Douglas Stanford. “On Memory in Exponentially Expanding Spaces.” J. High Energ. Phys. 2013, no. 6 (June 2013).
Version
Author's final manuscript
Abstract
We examine the degree to which fluctuating dynamics on exponentially expanding spaces remember initial conditions. In de Sitter space, the global late-time configuration of a free scalar field always contains information about early fluctuations. By contrast, fluctuations near the boundary of Euclidean Anti-de Sitter may or may not remember conditions in the center, with a transition at Δ = d/2. We connect these results to literature about statistical mechanics on trees and make contact with the observation by Anninos and Denef that the configuration space of a massless dS field exhibits ultrametricity. We extend their analysis to massive fields, finding that preference for isosceles triangles persists as long as Δ− < d/4.
Description
Author's final manuscript: May 28, 2013
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP06(2013)042
