A Geometrical Approach to Time-Dependent Gauge-Fixing

Int.J.Mod.Phys. A8 (1993) 4055-4069 When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Ham...

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Bibliographic Details
Main Authors Evans, Jonathan M, Tuckey, Philip A
Format Journal Article
LanguageEnglish
Published 03.08.1992
Subjects
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
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DOI10.48550/arxiv.hep-th/9208009

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Summary:Int.J.Mod.Phys. A8 (1993) 4055-4069 When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Hamiltonian time-evolution equation involving the Dirac bracket. Using a geometrical formulation, we derive an explicit condition which is both necessary and sufficient for this to be possible, and we give a formula defining the resulting Hamiltonian function. Some previous results are recovered as special cases.
DOI:10.48550/arxiv.hep-th/9208009