Abstract
The constraint formalism of classical mechanics is extended to field theories with gauge groups. Explicit examples of Klein-Gordon and Maxwell fields are presented. The symmetry properties of the Maxwell fields have the unexpcted feature in this formalism of forming a first-class algebra which is not Lie, a situation already encountered in the general theory of relativity.
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References
A. Komar,Phys. Rev. D. 18, 1881 (1978).
A. Komar,Phys. Rev. D 18, 1887 (1978).
P. A. M. Dirac,Phys. Rev. 114, 924 (1959).
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Komar, A. Field theoretic constraint formalism. Found Phys 15, 473–485 (1985). https://doi.org/10.1007/BF01889282
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DOI: https://doi.org/10.1007/BF01889282