High-order quantum back-reaction and quantum cosmology with a positive cosmological constant

Martin Bojowald, David Brizuela, Hector H. Hernández, Michael J. Koop, and Hugo A. Morales-Técotl
Phys. Rev. D 84, 043514 – Published 10 August 2011

Abstract

When quantum back-reaction by fluctuations, correlations and higher moments of a state becomes strong, semiclassical quantum mechanics resembles a dynamical system with a high-dimensional phase space. Here, systematic computational methods to derive the dynamical equations including all quantum corrections to high order in the moments are introduced, together with a (deparameterized) quantum cosmological example to illustrate some implications. The results show, for instance, that the Gaussian form of an initial state is maintained only briefly, but that the evolving state settles down to a new characteristic shape afterwards. Remarkably, even in the regime of large high-order moments, we observe a strong convergence within all considered orders that supports the use of this effective approach.

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  • Received 2 December 2010

DOI:https://doi.org/10.1103/PhysRevD.84.043514

© 2011 American Physical Society

Authors & Affiliations

Martin Bojowald1, David Brizuela1, Hector H. Hernández2, Michael J. Koop1, and Hugo A. Morales-Técotl3

  • 1Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA
  • 2Universidad Autónoma de Chihuahua, Facultad de Ingeniería, Nuevo Campus Universitario, Chihuahua 31125, México
  • 3Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, San Rafael Atlixco 186, CP 09340, México D.F., México

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Issue

Vol. 84, Iss. 4 — 15 August 2011

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