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Article overview
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Normal forms and gauge symmetries of local dynamics | | S.L. Lyakhovich
; A.A. Sharapov
; | | Date: |
29 Dec 2008 | | Abstract: | A systematic procedure is proposed for deriving all the gauge symmetries of
the general, not necessarily variational, equations of motion. For the
variational equations, this procedure reduces to the Dirac-Bergmann algorithm
for the constrained Hamiltonian systems with certain extension: it remains
applicable beyond the scope of Dirac’s conjecture. Even though no pairing
exists between the constraints and the gauge symmetry generators in general
non-variational dynamics, certain counterparts still can be identified of the
first- and second-class constraints without appealing to any Poisson structure.
It is shown that the general local gauge dynamics can be equivalently
reformulated in the involutive normal form. The last form of dynamics always
admits the BRST embedding, which does not require the classical equations to
follow from any variational principle. | | Source: | arXiv, 0812.4914 | | Services: | Forum | Review | PDF | Favorites | |
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