Generalized Hamiltonian dynamics. II. Gauge transformations
- 1 November 1983
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (11) , 2595-2601
- https://doi.org/10.1063/1.525655
Abstract
Generalized Hamiltonian dynamics is the finite‐dimensional version of gauge field theory and possesses invariance properties corresponding to gauge invariances. It is argued herein that a proper description of the finite‐dimensional gauge transformations requires a time‐dependent formalism. With this, local and global gauge transformations can be distinguished, and the insight obtained from this distinction clarifies some ambiguities that have appeared in the literature. In particular, the time‐dependent formalism provides a precise statement for Dirac’s conjecture concerning the form of the generalized Hamiltonian on phase space.Keywords
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