Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge

Details Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge

1998-10-13

arxiv.org/abs/hep-th/9810088v1

Phys.Lett. B446 (1999) 290-299

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX2e, 8 eps-figures included using graphicx

Scientific paper

10.1016/S0370-2693(98)01547-0

We express the Pontryagin index in Polyakov gauge completely in terms of magnetically charged gauge fixing defects, namely magnetic monopoles, lines, and domain walls. Open lines and domain walls are topologically equivalent to monopoles, which are the genuine defects. The emergence of non-genuine magnetically charged closed domain walls can be avoided by choosing the temporal gauge field smoothly. The Pontryagin index is then exclusively determined by the magnetic monopoles.

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