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arXiv · gr-qc/9412020

New representation and a vacuum state for canonical quantum gravity

Hans-Juergen Matschull
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Abstract

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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Hans-Juergen Matschull. 1994-12-07. New representation and a vacuum state for canonical quantum gravity. https://doi.org/10.1088/0264-9381%2F12%2F3%2F005

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