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

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.

Authors:
; ;  [1];  [2];  [3]
  1. Departament d'Estructura i Constituents de la Materia and Institut de Ciencies del Cosmos, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Catalonia (Spain)
  2. (United States)
  3. (Germany)
Publication Date:
OSTI Identifier:
21325359
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.80.084015; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COORDINATES; GAUGE INVARIANCE; QUANTUM OPERATORS; SCALAR FIELDS; SPACE-TIME

Citation Formats

Pons, J. M., Salisbury, D. C., Sundermeyer, K. A., Max-Planck-Institut fuer Wissenschaftsgeschichte, Boltzmannstrasse 22, 14195 Berlin, Germany and Department of Physics, Austin College, Sherman, Texas 75090-4440, and Freie Universitaet Berlin, Fachbereich Physik, Institute for Theoretical Physics, Arnimallee 14, 14195 Berlin. Revisiting observables in generally covariant theories in the light of gauge fixing methods. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.084015.
Pons, J. M., Salisbury, D. C., Sundermeyer, K. A., Max-Planck-Institut fuer Wissenschaftsgeschichte, Boltzmannstrasse 22, 14195 Berlin, Germany and Department of Physics, Austin College, Sherman, Texas 75090-4440, & Freie Universitaet Berlin, Fachbereich Physik, Institute for Theoretical Physics, Arnimallee 14, 14195 Berlin. Revisiting observables in generally covariant theories in the light of gauge fixing methods. United States. doi:10.1103/PHYSREVD.80.084015.
Pons, J. M., Salisbury, D. C., Sundermeyer, K. A., Max-Planck-Institut fuer Wissenschaftsgeschichte, Boltzmannstrasse 22, 14195 Berlin, Germany and Department of Physics, Austin College, Sherman, Texas 75090-4440, and Freie Universitaet Berlin, Fachbereich Physik, Institute for Theoretical Physics, Arnimallee 14, 14195 Berlin. Thu . "Revisiting observables in generally covariant theories in the light of gauge fixing methods". United States. doi:10.1103/PHYSREVD.80.084015.
@article{osti_21325359,
title = {Revisiting observables in generally covariant theories in the light of gauge fixing methods},
author = {Pons, J. M. and Salisbury, D. C. and Sundermeyer, K. A. and Max-Planck-Institut fuer Wissenschaftsgeschichte, Boltzmannstrasse 22, 14195 Berlin, Germany and Department of Physics, Austin College, Sherman, Texas 75090-4440 and Freie Universitaet Berlin, Fachbereich Physik, Institute for Theoretical Physics, Arnimallee 14, 14195 Berlin},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.80.084015},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 80,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2009},
month = {Thu Oct 15 00:00:00 EDT 2009}
}