Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop

Abstract

We demonstrate that a Jackiw-Nohl-Rebbi solution as the most general two-instanton generates a circular loop of magnetic monopole in four-dimensional Euclidean SU(2) Yang-Mills theory, in contrast to the one-instanton solution in the regular gauge for which no such magnetic monopole loops exist. These results together with our previous result indicate that two-instanton solution and two-meron solution with the same asymptotic behavior in the long distance are responsible for quark confinement based on the dual superconductivity picture.

11 pages, 3 figures

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Cited by in corpus (4)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• Magnetic monopole loops generated from two-instanton solutions: Jackiw-Nohl-Rebbi versus 't Hooft instanton
• Color confinement and restoration of residual local gauge symmetries