On memory in exponentially expanding spaces
Author(s)Stanford, Douglas; Roberts, Daniel Adam
MetadataShow full item record
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.
Author's final manuscript: May 28, 2013
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal of High Energy Physics
Roberts, Daniel A., and Douglas Stanford. “On Memory in Exponentially Expanding Spaces.” J. High Energ. Phys. 2013, no. 6 (June 2013).
Author's final manuscript