Numerical analysis of fractional charge solutions on the torus

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

30 pages, 15 figures

Cited by in corpus (7)

• Morita Duality and Large-N Limits
• Constructing SU(N) fractional instantons
• Strongly coupled QFT dynamics via TQFT coupling
• Classical Yang-Mills Vacua on $T^3$ : Explicit Constructions
• SU(2) vortex configuration in Laplacian Center Gauge
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Sigma Model BPS Lumps on Torus