Wormhole spectrum of a quantum Friedmann-Robertson-Walker cosmology minimally coupled to a power-law scalar field and the cosmological constant

Journal Article · Fri May 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.R3296· OSTI ID:7235587

Kim, S P ^[1]; Page, D N ^[2]

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1. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States) Department of Physics Education, College of Education, Seoul National University, Seoul 151-742 (Korea, Republic of)
2. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2J1 (Canada)

The expansion of the wave function of a quantum Friedmann-Robertson-Walker cosmology minimally coupled to a scalar field with a power-law potential by its scalar-field part decouples the gravitational-field part into an infinite system of linear homogeneous differential equations (equivalent to a matrix equation). The solutions for the gravitational-field part are found in the product integral formulation. It is shown that there exists a spectrum of the wave functions exponentially damped for large three-geometries under the condition that the cosmological constant should vanish. These are interpeted as the Hawking-Page wormholes.

• OSTI ID: 7235587
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGY
SCALAR FIELDS
QUANTUM GRAVITY
SPACE-TIME
COUPLING
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENSTATES
GRAVITATIONAL FIELDS
MATRICES
SCHROEDINGER EQUATION
UNIVERSE
WAVE FUNCTIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)