2022/08/15 by Golán, Jorge Dasilva, Pérez, Margarita García · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2208.07133
We study, by means of numerical methods, new SU(N) self-dual instanton solutions on R× T3 with fractional topological charge Q=1/N. They are obtained on a box with twisted boundary conditions with a very particular choice of twist: both the number of colours and the 't Hooft ZN fluxes piercing the box are taken within the Fibonacci sequence, i.e. N=Fn (the nth number in the series) and | m| = |k|=Fn-2. Various arguments based on previous works and in particular on ref. \citeChamizo:2016msz, indicate that this choice of twist avoids the breakdown of volume independence in the large N limit. These solutions become relevant on a Hamiltonian formulation of the gauge theory, where they represent vacuum-to-vacuum tunneling events lifting the degeneracy between electric flux sectors present in perturbation theory. We discuss the large N scaling properties of the solutions and evaluate various gauge invariant quantities like the action density or Wilson and Polyakov loop operators.