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.
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REFERENCES
J. M. Pons, D. C. Salisbury, and L. C. Shepley, Phys. Rev. D 55, 658 (1997).
D. C. Salisbury and M. Pollot, Found. Phys. 19, 1441 (1989).
D. C. Salisbury, “A relativistic classical and quantum interacting variable mass model,” this issue (1998).
D. C. Salisbury and K. Sundermeyer, Phys. Rev. D 27,757 (1983).
J. M. Pons, D. C. Salisbury, and, L. C. Shepley, “Gauge transformations in Einstein— Yang— Mills and Ashtekar theories,” to appear (1998).
D. Sa'ad, L. P. Horwitz, and R. I. Arshansky, Found. Phys. 19, 1126 (1989).
M. C. Land, N. Shnerb, and L. P. Horwitz, J. Math. Phys. 36, 3263 (1995).
M. C. Land, Found. Phys. 27, 19 (1997).
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Salisbury, D.C. Classical Canonical General Coordinate and Gauge Symmetries. Foundations of Physics 28, 1425–1431 (1998). https://doi.org/10.1023/A:1018853110773
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DOI: https://doi.org/10.1023/A:1018853110773