Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-28
Phys.Rev. D55 (1997) 4785-4790
Physics
High Energy Physics
High Energy Physics - Theory
16 pages (LaTeX manuscript). Revised version (minor changes) to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.55.4785
The BRST generator is realized as a Hermitian nilpotent operator for a finite-dimensional gauge system featuring a quadratic super-Hamiltonian 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 does not lead to the curvature term used in the literature as a means to get that invariance. The inclusion of the potential in the kinetic term, far from being unnatural, is beautifully justified in light of the Jacobi's principle.
Ferraro Rafael
Sforza Daniel M.
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