Superselection rules from Dirac and BRST quantization of constrained systems
Jul, 199119 pages
Published in:
- Nucl.Phys.B 371 (1992) 415-433
- Published: 1992
Report number:
- DAMTP-91-29
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Abstract: (Elsevier)
Adopting the point of view that inequivalent quantisations correspond to superselection sectors, i.e. unitarily inequivalent representations of the algebra of observables, we show how the superselection sectors of a particle moving on a coset space G/H follow from its quantisation as a constrained system (the unconstrained system being the phase space T ∗ G). Both the Dirac and BRST method are examined; the former works well for compact H, whereas the latter runs into several difficulties. Accordingly, a possible improvement to the BRST procedure is suggested.- mechanics: classical
- quantization: Hamiltonian formalism
- quantization: Becchi-Rouet-Stora
- algebra: cohomology
- constraint
- superselection rule
- coset space
- functional analysis
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