Dirac versus reduced phase space quantization for systems admitting no gauge conditions

Details Dirac versus reduced phase space quantization for systems admitting no gauge conditions Dirac versus reduced phase space quantization for systems admitting no gauge conditions

1993-06-03

arxiv.org/abs/hep-th/9306017v2

Int.J.Mod.Phys. A11 (1996) 1427-1462

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, LaTeX; changes in the title, abstract and references and throughout the main text; the version to appear in Inter. J

Scientific paper

10.1142/S0217751X96000663

The constrained Hamiltonian systems admitting no gauge conditions are considered. The methods to deal with such systems are discussed and developed. As a concrete application, the relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of systems under consideration. It is traced out that the two quantization methods may give similar, or essentially different physical results, and, moreover, a class of constrained systems, which can be quantized only by the Dirac method, is discussed. A possible interpretation of the gauge degrees of freedom is given.

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