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Generalized Wick transform in dimensionally reduced gravity

Bruno Hartmann1,2 and Jacek Wiśniewski2,3

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In the context of canonical quantum gravity we study an alternative real quantization scheme, which arises by relating simpler Riemannian quantum theory to the more complicated physical Lorentzian theory, the generalized Wick transform. On the symmetry reduced models, homogeneous Bianchi cosmology and 2 + 1 gravity, we investigate its generalized construction principle, demonstrate that the emerging quantum theory is equivalent to that obtained from standard quantization and how to obtain physical states in Lorentzian gravity from Wick transforming solutions of Riemannian quantum theory.


PACS

04.60.Ds Canonical quantization

98.80.-k Cosmology

MSC

83Cxx General relativity

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 2 (21 January 2004)

Received 23 September 2003

Published 23 December 2003



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