Classical Canonical General Coordinate and Gauge Symmetries
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.
KeywordsGeneral Relativity Classical Generator Gauge Transformation Gauge Symmetry Free Particle
Unable to display preview. Download preview PDF.
- 1.J. M. Pons, D. C. Salisbury, and L. C. Shepley, Phys. Rev. D 55, 658 (1997).Google Scholar
- 2.D. C. Salisbury and M. Pollot, Found. Phys. 19, 1441 (1989).Google Scholar
- 3.D. C. Salisbury, “A relativistic classical and quantum interacting variable mass model,” this issue (1998).Google Scholar
- 4.D. C. Salisbury and K. Sundermeyer, Phys. Rev. D 27,757 (1983).Google Scholar
- 5.J. M. Pons, D. C. Salisbury, and, L. C. Shepley, “Gauge transformations in Einstein— Yang— Mills and Ashtekar theories,” to appear (1998).Google Scholar
- 6.D. Sa'ad, L. P. Horwitz, and R. I. Arshansky, Found. Phys. 19, 1126 (1989).Google Scholar
- 7.M. C. Land, N. Shnerb, and L. P. Horwitz, J. Math. Phys. 36, 3263 (1995).Google Scholar
- 8.M. C. Land, Found. Phys. 27, 19 (1997).Google Scholar