INEQUIVALENT QUANTIZATIONS OF GAUGE THEORIES
1999 ◽
Vol 14
(13)
◽
pp. 2023-2036
Keyword(s):
It is known that the quantization of a system defined on a topologically nontrivial 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 to the quantization of the Yang–Mills theory in the simplest fashion. The resulting inequivalent quantum systems are labelled by quantized nondynamical topological charges.