Gauge Invariant Monopoles in SU(2) Gluodynamics

Details Gauge Invariant Monopoles in SU(2) Gluodynamics Gauge Invariant Monopoles in SU(2) Gluodynamics

2002-04-12

arxiv.org/abs/hep-lat/0204017v1

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX file, 14 pages

Scientific paper

We introduce a gauge invariant topological definition of monopole charge in pure SU(2) gluodynamics. The non-trivial topology is provided by hedgehog configurations of the non-Abelian field strength tensor on the two-sphere surrounding the monopole. It is shown that this definition can be formulated entirely in terms of Wilson loops which makes the gauge invariance manifest. Moreover, it counts correctly the monopole charge in case of spontaneously broken gauge symmetry and of pure Abelian gauge fields.

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