Gauge fixation and global phase time for minisuperspaces

Abstract

Homogeneous and isotropic cosmological models whose Hamilton-Jacobi equation is separable are deparametrized by turning their action functional into that of an ordinary gauge system. Canonical gauge conditions imposed on the gauge system are used to define a global phase time in terms of the canonical coordinates and momenta of the minisuperspaces. The procedure clearly shows how the geometry of the constraint surface restricts the choice of time; the consequences that this has on the path integral quantization are discussed.

18 pages

References in corpus (1)

• Quantization of minisuperspaces as ordinary gauge systems

Cited by in corpus (6)

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• Comments on quantum cosmology with extrinsic time
• Comment on the choice of time in a two-component formulation of the Wheeler--DeWitt equation