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Foundations of Physics

, Volume 28, Issue 9, pp 1425–1431 | Cite as

Classical Canonical General Coordinate and Gauge Symmetries

  • D. C. Salisbury
Article

Abstract

Classical generators of one-dimensional reparametrization, and higher dimensional diffeomorphism symmetries are displayed for the relativistic free particle, relativistic particles in interaction, and general relativity in both Lagrangian and Hamiltonian frameworks. Projectability of these symmetries under the Legendre map is achieved only with dynamical variable-dependent transformations. When gauge symmetries are included, as in Einstein-Yang-Mills and a new reparametrization covariant pre-Maxwell model, pure coordinate symmetries are not projectable. They must be accompanied by internal gauge transformations.

Keywords

General Relativity Classical Generator Gauge Transformation Gauge Symmetry Free Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • D. C. Salisbury

There are no affiliations available

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