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# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## SU(N) fractional instantons

Aug 9, 2022, 5:50 PM
20m
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

### CP1-HSZ/1st-1.001 - HS5

#### CP1-HSZ

50
Oral Presentation Vacuum Structure, Confinement, and Chiral Symmetry

### Speaker

Jorge Luis Dasilva Golán (IFT-UAM, Madrid, Spain.)

### Description

We present our ongoing 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 minimising the action with gradient flow techniques on a torus of size $l^2\times\tilde{l}^2$ (with $\tilde{l}\equiv Nl$) and twisted boundary conditions. We pay special attention to the large $N$ limit, which is taken along a very peculiar sequence, with the number of colours $N$ and the magnetic flux $m$ selected respectively as the n 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 and Wilson loops. We also discuss the Hamiltonian limit, with one of the large directions sent to infinity, where these instantons represent tunnelling events between inequivalent pure gauge configurations.

### Primary authors

Jorge Luis Dasilva Golán (IFT-UAM, Madrid, Spain.) Margarita García Pérez (IFT UAM-CSIC, CSIC)