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|a Stanford, Douglas
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Physics
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|a Roberts, Daniel Adam
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|a Roberts, Daniel Adam
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|a Roberts, Daniel Adam
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|a On memory in exponentially expanding spaces
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|b Springer-Verlag,
|c 2014-04-17T16:22:48Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/86201
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|a Author's final manuscript: May 28, 2013
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|a 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.
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|a American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship
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|a Hertz Foundation
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|a United States. Dept. of Energy (Contract DE-FG02-05ER41360)
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|a Article
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|t Journal of High Energy Physics
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