ON THE CANONICAL APPROACH TO QUANTUM GRAVITY
198212 pages
Published in:
- Phys.Rev.D 26 (1982) 3342-3353
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Abstract: (APS)
General relativity has the property that, under the natural projection mapping, the image of the constraint surface in the phase space is a proper subset of the configuration space. This feature is not shared by other field theories of direct physical interest such as the Yang-Mills theory, nor by constrained systems which have been modeled after general relativity and analyzed in detail. Therefore, to gain insight into this feature, a new example with a finite number of degrees of freedom is introduced and quantized. The analysis suggests that, in the canonical approach, the reduced phase-space method is likely to yield an incomplete description of quantum gravity. In particular, contrary to the indication provided by this method, quantum gravity may admit states with negative energies.- QUANTUM GRAVITY
- general relativity
- KINEMATICS: PHASE SPACE
- QUANTIZATION
- FIELD THEORY: SPACE-TIME
- BOUNDARY CONDITION
- QUANTUM MECHANICS
- EFFECT: TUNNELING
- FUNCTIONAL ANALYSIS: linear space
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