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arXiv · 0806.3913

Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner

Kei-Ichi Kondo·Nobuyuki Fukui·Akihiro Shibata·Toru Shinohara
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Abstract

We give an analytical solution representing circular magnetic monopole loops joining a pair of merons in the four-dimensional Euclidean SU(2) Yang-Mills theory. This is achieved by solving the differential equation for the adjoint color (magnetic monopole) field in the two--meron background field within the recently developed reformulation of the Yang-Mills theory. Our analytical solution corresponds to the numerical solution found by Montero and Negele on a lattice. This result strongly suggests that a meron pair is the most relevant quark confiner in the original Yang-Mills theory, as Callan, Dashen and Gross suggested long ago.

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Kei-Ichi Kondo, Nobuyuki Fukui, Akihiro Shibata, Toru Shinohara. 2008-08-20. Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner. https://doi.org/10.1103/physrevd.78.065033

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