Polymer quantization of the Einstein-Rosen wormhole throat
- Department of Physics, University of Winnipeg, 515 Portage Avenue, Winnipeg, Manitoba, R3B 2E9 (Canada)
- School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD (United Kingdom)
We present a polymer quantization of spherically symmetric Einstein gravity in which the polymerized variable is the area of the Einstein-Rosen wormhole throat. In the classical polymer theory, the singularity is replaced by a bounce at a radius that depends on the polymerization scale. In the polymer quantum theory, we show numerically that the area spectrum is evenly spaced and in agreement with a Bohr-Sommerfeld semiclassical estimate, and this spectrum is not qualitatively sensitive to issues of factor ordering or boundary conditions except in the lowest few eigenvalues. In the limit of small polymerization scale we recover, within the numerical accuracy, the area spectrum obtained from a Schroedinger quantization of the wormhole throat dynamics. The prospects of recovering from the polymer throat theory a full quantum-corrected spacetime are discussed.
- OSTI ID:
- 21409094
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
APPROXIMATIONS
BOUNDARY CONDITIONS
CALCULATION METHODS
CHEMICAL REACTIONS
EIGENVALUES
GRAVITATION
POLYMERIZATION
POLYMERS
QUANTIZATION
SEMICLASSICAL APPROXIMATION
SINGULARITY
SPACE-TIME
SPECTRA
SYMMETRY