Generalised Wick Transform in Dimensionally Reduced Gravity

Details Generalised Wick Transform in Dimensionally Reduced Gravity Generalised Wick Transform in Dimensionally Reduced Gravity

2003-09-17

arxiv.org/abs/gr-qc/0309081v2

Class.Quant.Grav. 21 (2004) 697-728

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 3 figures, revtex4; v.2: referencing improved

Scientific paper

10.1088/0264-9381/21/2/024

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

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