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Gauge fixation and global phase time for minisuperspaces

Claudio Simeone
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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.

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Claudio Simeone. 2001-08-30. Gauge fixation and global phase time for minisuperspaces. https://doi.org/10.1063/1.532984

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