SU(N) fractional instantons
J.L. Dasilva Golán* and M. Garcia Perez
March 15, 2023
April 06, 2023
We present our study of a set of solutions to the $SU(N)$ Yang-Mills equations of motion with fractional topological charge. The configurations are obtained numerically by minimizing the action with gradient flow techniques on a torus of size $l^2 \times(Nl)^2$ with twisted boundary conditions. We pay special attention to the large N limit, which is taken along a very peculiar sequence, with the number of colors N and the magnetic flux m selected respectively as the $n$-th and $n − 2$ terms of the Fibonacci sequence. We discuss the large N scaling of the solutions and analyze several gauge invariant quantities as the Polyakov loops. We also discuss the so-called Hamiltonian limit, with one of the large directions sent to infinity, where these instantons represent tunneling events between inequivalent pure gauge configurations.
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.