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Reparametrization Invariance as Gauge Symmetry

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Abstract

Reparametrization invariance treated as a gaugesymmetry shows some specific peculiarities. We studythese peculiarities both from a general point of viewand by concrete examples. We consider the canonical treatment of reparametrization-invariantsystems in which one fixes the gauge on the classicallevel by means of time-dependent gauge conditions. Insuch an approach one can interpret different gauges as different reference frames. We discuss therelation between different gauges and the problem ofgauge invariance in this case. Finally, we establish ageneral structure of reparametrizations and itsconnection with the zero-Hamiltonian phenomenon.

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Fulop, G., Gitman, D.M. & Tyutin, I.V. Reparametrization Invariance as Gauge Symmetry. International Journal of Theoretical Physics 38, 1941–1968 (1999). https://doi.org/10.1023/A:1026641400067

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