Magnetic Monopoles and the Topology of Gauge Fields
H. Reinhardt
TL;DR
This paper explores the relationship between magnetic monopoles and the topology of gauge fields, providing evidence for the dual Meissner effect as a mechanism for confinement in Yang-Mills theory.
Contribution
It demonstrates how the Pontrjagin index relates to magnetic monopole charges in Polyakov gauge, linking topology to monopole condensation.
Findings
Lattice calculations support the dual Meissner effect for confinement.
Pontrjagin index is related to magnetic monopole charges.
Magnetic monopole condensation is key to understanding the Yang-Mills vacuum.
Abstract
Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang--Mills vacuum consists of a condensate of magnetic monopoles. We show in Polyakov gauge how the Pontrjagin index of the gauge field is related to the magnetic monopole charges.
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