6533b830fe1ef96bd1296692

RESEARCH PRODUCT

Inequivalent Quantizations of Gauge Theories

Kenichi Horie

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsFOS: Physical sciencesAstronomy and AstrophysicsAtomic and Molecular Physics and OpticsQuantization (physics)Theoretical physicsHigh Energy Physics::TheoryHigh Energy Physics - Theory (hep-th)CosetGauge theoryConfiguration spaceQuantum

description

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.

10.1142/s0217751x99001020http://arxiv.org/abs/hep-th/9905101