Revisiting observables in generally covariant theories in the light of gauge fixing methods

Details Revisiting observables in generally covariant theories in the light of gauge fixing methods Revisiting observables in generally covariant theories in the light of gauge fixing methods

Publishing date

2009-05-28

URL

arxiv.org/abs/0905.4564v2

Journals

Phys.Rev.D80:084015,2009

Science

Astronomy and Astrophysics

Field

Astrophysics

SubField

General Relativity and Quantum Cosmology

Additional info

24 pages. New paragraph in conclusions and references added. To appear in Physical Review D

Type

Scientific paper

Digital Object Identifier

10.1103/PhysRevD.80.084015

Abstract

We derive for generally covariant theories the generic dependency of observables on the original fields, corresponding to coordinate-dependent gauge fixings. This gauge choice is equivalent to a choice of intrinsically defined coordinates accomplished with the aid of spacetime scalar fields. With our approach we make full contact with, and give a new perspective to, the "evolving constants of motion" program. We are able to directly derive generic properties of observables, especially their dynamics and their Poisson algebra in terms of Dirac brackets, extending earlier results in the literature. We also give a new interpretation of the observables as limits of canonical maps.

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