Quantum and Statistical Effects in Superspace Cosmology

  • B. L. Hu
Part of the NATO ASI Series book series (NSSB, volume 230)

Abstract

The general aim of these lectures is twofold:
  1. 1)

    To develop a viewpoint for understanding the kinematics of quantum cosmology in the minisuperspace approximation: i.e., superspace as the space of collective excitation modes of spacetime. Emphasis here is put on the spectrum of the Lifshitz operator in spacetime and that of the Wheeler-DeWitt operator in superspace. Some established theorems on the zero-mode structure and asymptotic distribution of eigenvalues of invariant operators in curved space are invoked.

     
  2. 2)

    To apply some recent results in quantum field theory in curved spacetime to problems in quantum cosmology. Specifically, the analysis of a) infrared behavior and b) dissipative behavior of quantum fields in curved spacetimes are used to elicit the views that a) minisuperspace cosmology is the infrared limit of quantum gravity, and b) dissipative behavior appears in the minisuperspace modes which can lead to memory lost of the initial conditions.

     

Keywords

Entropy Anisotropy Soliton Coherence Rosen 

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • B. L. Hu
    • 1
    • 2
  1. 1.Newman Laboratory of Nuclear StudiesCornell UniversityIthacaUSA
  2. 2.Department of Physics and AstronomyUniversity of MarylandCollege ParkUSA

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