Magnetic monopole loop for the Yang-Mills instanton

Details Magnetic monopole loop for the Yang-Mills instanton Magnetic monopole loop for the Yang-Mills instanton

1996-10-15

arxiv.org/abs/hep-th/9610101v1

Phys.Rev. D55 (1997) 6313-6326

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, ReVTeX, 5 Encaptulated Postscript figures

Scientific paper

10.1103/PhysRevD.55.6313

We investigate 't Hooft-Mandelstam monopoles in QCD in the presence of a single classical instanton configuration. The solution to the Maximal Abelian projection is found to be a circular monopole trajectory with radius $R$ centered on the instanton. At zero loop radius, there is a marginally stable (or flat) direction for loop formation to $O(R^4 logR)$. We argue that loops will form, in the semi-classical limit, due to small perturbations such as the dipole interaction between instanton anti-instanton pairs. As the instanton gas becomes a liquid, the percolation of the monopole loops may therefore provide a semi-classical precursor to the confinement mechanism.

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