BRST operator quantization of generally covariant gauge systems
نویسندگان
چکیده
منابع مشابه
BRST operator quantization of generally covariant gauge systems
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 ...
متن کاملGauge Invariance for Generally Covariant Systems
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...
متن کاملOperator 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...
متن کاملBRST operator quantisation of parametrised gauge systems
The BRST quantisation of a finite dimensional gauge system featuring a Hamiltonian constraint quadratic in the momenta reveals that the presence of a potential term and/or additional linear constraints lead to a factor ordered kinetic term in the Hamiltonian which differs from the naively expected Laplacian. This unexpected factor ordering is found to be a necessary condition to obtain constrai...
متن کاملComputing the Brst Operator Used in Quantization of Gauge Theories
It is shown that for a large class of non-holonomic quantum mechanical systems one can make the computation of BRST charge fully algorithmic. Two computer algebra programs written in the language of REDUCE are described. They are able to realize the complex calculations needed to determine the charge for general nonlinear algebras. Some interesting specific solutions are discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1997
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.55.4785