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Numerical analysis of fractional charge solutions on the torus

Alvaro Montero
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Abstract

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 $S=8π^2/\N$ and extract their properties in a few different cases, paying special attention to the $N \to \infty$ limit.

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Alvaro Montero. 2000-04-16. Numerical analysis of fractional charge solutions on the torus. https://doi.org/10.1088/1126-6708%2F2000%2F05%2F022

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