A Generalized Wick Transform for Gravity

Details A Generalized Wick Transform for Gravity A Generalized Wick Transform for Gravity

1995-11-30

arxiv.org/abs/gr-qc/9511083v2

Phys.Rev.D53:2865-2869,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 Pages, Tex File, No Figures, (One TEX error corrected)

Scientific paper

10.1103/PhysRevD.53.2865

Using a key observation due to Thiemann, a generalized Wick transform is introduced to map the constraint functionals of Riemannian general relativity to those of the Lorentzian theory, including matter sources. This opens up a new avenue within ``connection-dynamics'' where one can work, throughout, only with real variables. The resulting quantum theory would then be free of complicated reality conditions. Ramifications of this development to the canonical quantization program are discussed.

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