Detecting monopoles on the lattice

Abstract

We address the issue why the number and the location of magnetic monopoles detected on lattice configurations are gauge dependent, in contrast with the physical expectation that monopoles have a gauge invariant status. By use of the Non-Abelian Bianchi Identities we show that monopoles are gauge invariant, but the efficiency of the technique usually adopted to detect them depends on the choice of the gauge in a well understood way. In particular we have studied a class of gauges which interpolates between the Maximal Abelian gauge, where all monopoles are observed, and the Landau gauge, where all monopoles escape detection.

5 pages, 1 ps figure

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• Are there monopoles in the quark-gluon plasma?
• Magnetic monopole bibliography
• Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
• Chiral symmetry breaking and monopoles in gauge theories
• QCD Monopoles on the Lattice and Gauge Invariance
• Topological Data Analysis of Monopole Current Networks in $U(1)$ Lattice Gauge Theory
• Gauge Invariance and Lattice Monopoles
• On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
• Bulk-preventing actions for SU(N) gauge theories
• QCD, monopoles on the Lattice and gauge invariance