Quantizing canonical gravity in the real domain

Details Quantizing canonical gravity in the real domain Quantizing canonical gravity in the real domain

1997-01-14

arxiv.org/abs/gr-qc/9701031v1

Proc. 2nd Internat. Sakharov Conf. (World Scientific 1997) 280-283

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, LaTeX, uses sprocl.sty; to appear in the Proceedings of the 2nd International Sakharov Conference on Physics, Moscow,

Scientific paper

We advocate an alternative description of canonical gravity in 3+1 dimensions, obtained by using as the basic variable a real variant of the usual Ashtekar connection variables on the spatial three-manifold. With this ansatz, no non-trivial reality conditions have to be solved, and the Hamiltonian constraint, though non-polynomial, can be quantized rigorously in a lattice regularization.

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