Time evolution in general gauge theories defined on inner product spaces
arXiv:hep-th/9608110 · doi:10.1016/S0550-3213(97)00169-7
Abstract
As previously shown BRST singlets |s> in a BRST quantization of general gauge theories on inner product spaces may be represented in the form |s>=e^{[Q, ψ]} |ϕ> where |ϕ> is either a trivially BRST invariant state which only depends on the matter variables, or a solution of a Dirac quantization. ψis a corresponding fermionic gauge fixing operator. In this paper it is shown that the time evolution is determined by the singlet states of the corresponding reparametrization invariant theory. The general case when the constraints and Hamiltonians may have explicit time dependence is treated.
12 pages,latexfile
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