New representation and a vacuum state for canonical quantum gravity

Details New representation and a vacuum state for canonical quantum gravity New representation and a vacuum state for canonical quantum gravity

1994-12-07

arxiv.org/abs/gr-qc/9412020v1

Class.Quant.Grav.12:651-676,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, LaTeX

Scientific paper

10.1088/0264-9381/12/3/005

A new representation for canonical gravity and supergravity is presented, which combines advantages of Ashtekar's and the Wheeler~DeWitt representation: it has a nice geometric structure and the singular metric problem is absent. A formal state functional can be given, which has some typical features of a vacuum state in quantum field theory. It can be canonically transformed into the metric representation. Transforming the constraints too, one recovers the Wheeler~DeWitt equation up to an anomalous term. A modified Dirac quantization is proposed to handle possible anomalies in the constraint algebra.

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