Deparametrization and quantization of the Taub universe
Gaston Giribet, Claudio Simeone
TL;DR
This paper extends deparametrization and path integral quantization methods to the Taub universe, an anisotropic cosmological model lacking intrinsic time, clarifying the relation between gauge fixing and Wheeler-DeWitt reduction.
Contribution
It provides a formal transition amplitude expression for the Taub universe and analyzes the connection between gauge fixation and Wheeler-DeWitt reduction.
Findings
Derived a formal transition amplitude for the Taub universe
Clarified the relation between gauge fixing and Wheeler-DeWitt reduction
Extended previous methods to models without intrinsic time
Abstract
Previous analysis about the deparametrization and path integral quantization of cosmological models are extended to models which do not admit an intrinsic time. The formal expression for the transition amplitude is written down for the Taub anisotropic universe with a clear notion of time. The relation existing between the deparametrization associated to gauge fixation required in the path integral approach and the procedure of reduction of the Wheeler-De Witt equation is also studied.
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