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arXiv · 1009.2425

Detecting monopoles on the lattice

Claudio Bonati·Adriano Di Giacomo·Massimo D'Elia
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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.

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Claudio Bonati, Adriano Di Giacomo, Massimo D'Elia. 2010-11-24. Detecting monopoles on the lattice. https://doi.org/10.1103/physrevd.82.094509

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