Quantum spin dynamics (qsd). 2.
Jun, 199627 pages
Published in:
- Class.Quant.Grav. 15 (1998) 875-905
e-Print:
- gr-qc/9606090 [gr-qc]
Report number:
- HUTMP-96-B-352
View in:
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Abstract: (arXiv)
We continue here the analysis of the previous paper of the Wheeler-DeWitt constraint operator for four-dimensional, Lorentzian, non-perturbative, canonical vacuum quantum gravity in the continuum. In this paper we derive the complete kernel, as well as a physical inner product on it, for a non-symmetric version of the Wheeler-DeWitt operator. We then define a symmetric version of the Wheeler-DeWitt operator. For the Euclidean Wheeler-DeWitt operator as well as for the generator of the Wick transform from the Euclidean to the Lorentzian regime we prove existence of self-adjoint extensions and based on these we present a method of proof of self-adjoint extensions for the Lorentzian operator. Finally we comment on the status of the Wick rotation transform in the light of the present results.- quantum gravity
- Wheeler-DeWitt equation
- constraint: Euclidean
- constraint: solution
- regularization
- model: spin
- spin: model
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