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.
@article{arxiv.0806.3913,
title = {Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner},
author = {Kei-Ichi Kondo and Nobuyuki Fukui and Akihiro Shibata and Toru Shinohara},
journal= {arXiv preprint arXiv:0806.3913},
year = {2009}
}
Comments
29 (cover + 28) pages, 3 figures; references are added, minor changes, version accepted for publication in Physical Review D,