|Sfb 288 Differential Geometry and Quantum Physics|
Abstract for Sfb Preprint No. 582
Generalized Wick Transform in Dimensionally Reduced Gravity.
In the context of canonical quantum gravity we study an alternative real quantization scheme, which is arising by relating simpler Riemannian quantum theory to the more complicated physical Lorentzian theory - the generalized Wick transform. On models in the symmetry reduced case of homogeneous Bianchi somology and 2+1 gravity we investigate its generalized construction principle, demonstrate that the emerging quantum theory is equivalent to the one obtained from standard quantization and how to obtain physical states in Lorentzian gravity from Wick transforming solutions of Riemannian quantum theory.
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