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Phys. Rev. D 44, 1028–1037 (1991)

Validity of the minisuperspace approximation: An example from interacting quantum field theory

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Sukanya Sinha and B. L. Hu
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

Received 22 January 1991; published in the issue dated 15 August 1991

We examine the question of the validity of the minisuperspace approximation using the example of an interacting (λΦ4) scalar field in a closed Robertson-Walker universe, where the scale factor and the homogeneous mode of the scalar field model the minisuperspace degrees of freedom. We explicitly compute the back reaction of the inhomogeneous modes on the minisuperspace sector using a coarse-grained effective action and show that the minisuperspace approximation is valid only when this back reaction is small.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.44.1028
DOI:
10.1103/PhysRevD.44.1028
PACS: