Numerical fractional instantons in SU(2): center vortices, monopoles, and a sharp transition between them

F David Wandler

We use a numerical cooling algorithm to study fractional instantons in $SU(2)$ pure Yang-Mills on ${\mathbb{R}}^2\times {\mathbb{T}}_{\ast }^2$, ${\mathbb{R}}^3\times S^1$, and $\mathbb{R}\time…