Inequivalent Quantizations of Gauge Theories

Details Inequivalent Quantizations of Gauge Theories Inequivalent Quantizations of Gauge Theories

1999-05-14

arxiv.org/abs/hep-th/9905101v1

Int.J.Mod.Phys. A14 (1999) 2023-2036

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX, to be publ. in Int.J.Mod.Phys. A

Scientific paper

10.1142/S0217751X99001020

It is known that the quantization of a system defined on a topologically non-trivial configuration space is ambiguous in that many inequivalent quantum systems are possible. This is the case for multiply connected spaces as well as for coset spaces. Recently, a new framework for these inequivalent quantizations approach has been proposed by McMullan and Tsutsui, which is based on a generalized Dirac approach. We employ this framework for the quantization of the Yang-Mills theory in the simplest fashion. The resulting inequivalent quantum sectors are labelled by quantized non-dynamical topological charges.

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