Gauge Identities and the Dirac Conjecture

Details Gauge Identities and the Dirac Conjecture Gauge Identities and the Dirac Conjecture

2004-06-04

arxiv.org/abs/hep-th/0406044v1

Annals Phys. 313 (2004) 479-496

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1016/j.aop.2004.05.001

The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are generated, according to Dirac's conjecture, by the first class constraints. In the latter approach such local symmetries are reflected in the existence of so called gauge identities. The connection between the two becomes apparent, if one works with a first order Lagrangean formulation. Our analysis applies to purely first class systems. We show that Dirac's conjecture applies to first class constraints which are generated in a particular iterative way, regardless of the possible existence of bifurcations or multiple zeroes of these constraints. We illustrate these statements in terms of several examples.

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