Published February 15, 1993
| Version v1
Journal article
Perturbative quantum cosmology around the scrMscrS(Td) minisuperspace
Creators
- 1. Physics Department, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
Description
We study the Wheeler-DeWitt equation for the cases of first- and second-order perturbations around the scrMscrS(Td) minisuperspace, which is the Wheeler superspace of all flat and orthogonal tori in d dimensions. To first order, the Wheeler-DeWitt equation is an infinite-dimensional globally hyperbolic massless Klein-Gordon equation. A definition of a Hilbert space in that region of superspace is straightforward, but the dynamics is trivial. To second order, the Wheeler-DeWitt equation is an infinite-dimensional globally hyperbolic Klein-Gordon equation, but with a mass-squared term which is time dependent. This time dependence ruins the possibility of a simple definition of a Hilbert space
Additional details
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 47
- Journal Issue
- 4
- Journal Page Range
- p. 1391-1395.
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24039676
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOUNDARY CONDITIONS; COSMOLOGY; HAMILTONIANS; HILBERT SPACE; KLEIN-GORDON EQUATION; LAGRANGIAN FUNCTION; PERTURBATION THEORY; QUANTUM FIELD THEORY; SPACE-TIME; SUPERSYMMETRY; TIME DEPENDENCE
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SYMMETRY; WAVE EQUATIONS