BPST instanton and Spin from inequivalent quantizations

Details BPST instanton and Spin from inequivalent quantizations BPST instanton and Spin from inequivalent quantizations

1993-10-28

arxiv.org/abs/hep-th/9310185v2

Phys.Lett. B320 (1994) 287-293

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, plain TeX, PLY-MS-93-04, DIAS-STP-93-21 (This version should now TeX)

Scientific paper

10.1016/0370-2693(94)90658-0

We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G \rightarrow G/H}$ and employs a generalized form of Dirac's approach to the quantization of constrained systems. When applied to the four-sphere $S^4 \simeq {\rm Spin(5)/Spin(4)}$, the inequivalent quantizations induce relativistic spin and a background BPST instanton; thus they might provide a natural account of both of these physical entities.

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