Time evolution in general gauge theories defined on inner product spaces

Details Time evolution in general gauge theories defined on inner product spaces Time evolution in general gauge theories defined on inner product spaces

1996-08-16

arxiv.org/abs/hep-th/9608110v1

Nucl.Phys. B494 (1997) 346-364

Physics

High Energy Physics

High Energy Physics - Theory

12 pages,latexfile

Scientific paper

10.1016/S0550-3213(97)00169-7

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, \psi]} |\phi> where |\phi> is either a trivially BRST invariant state which only depends on the matter variables, or a solution of a Dirac quantization. \psi is 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.

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