Numerical analysis of fractional charge solutions on the torus

Details Numerical analysis of fractional charge solutions on the torus Numerical analysis of fractional charge solutions on the torus

2000-04-16

arxiv.org/abs/hep-lat/0004009v1

JHEP 0005 (2000) 022

Physics

High Energy Physics

High Energy Physics - Lattice

30 pages, 15 figures

Scientific paper

10.1088/1126-6708/2000/05/022

We study by numerical methods a particular kind of SU(N) Yang-Mills solutions of the Euclidean equations of motion which appear on the torus when twisted boundary conditions are imposed. These are instanton-like configurations with the peculiarity of having fractional topological charge. We focus on those solutions with minimal non-trivial action $S=8\pi^2/\N$ and extract their properties in a few different cases, paying special attention to the $N \to \infty$ limit.

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