Clustering of Monopoles in the Instanton Vacuum

Abstract

We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find that instanton-induced monopole loops form enormous clusters occupying the whole physical volume, provided instantons are sufficiently dense. It indicates that confinement might be caused by instantons.

7 pages, Plain Latex, (3 figures - available on request from [email protected])

References in corpus (6)

• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Hadronic matrix elements of gluon operators in the instanton vacuum
• Instantons and Monopoles in the Maximally Abelian Gauge
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• Electric and magnetic currents in SU(2) lattice gauge theory
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