Operator ordering for generally covariant systems
نویسندگان
چکیده
منابع مشابه
Operator ordering for generally covariant systems
An essential aspect of a generally covariant system is the invariance of its action under reparametrizations; this means that the label that parametrizes the trajectories of the system is not the time but a physically irrelevant parameter. As a consequence, the system is constrained to remain on the hypersurface of the phase space where the Hamiltonian is null. In fact, since the “evolution” ge...
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The BRST generator is realized as a Hermitian nilpotent operator for a finite-dimensional gauge system featuring a quadratic superHamiltonian and linear supermomentum constraints. As a result, the emerging ordering for the Hamiltonian constraint is not trivial, because the potential must enter the kinetic term in order to obtain a quantization invariant under scaling. Namely, BRST quantization ...
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Previous analyses on the gauge invariance of the action for a generally covariant system are generalized. It is shown that if the action principle is properly improved, there is as much gauge freedom at the endpoints for an arbitrary gauge system as there is for a system with “internal” gauge symmetries. The key point is to correctly identify the boundary conditions for the allowed histories an...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)00794-5