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An old and apparently persistent problem in numerical lattice QCD is that thesimulations tend to get trapped in a sector of fixed topological charge whenthe lattice spacing is taken to zero. The effect sets in very rapidly and mayinvalidate the simulation results in certain cases. In this talk, the issue isdiscussed using the Wilson flow as a tool. The flow has a simple scalingbehaviour and allows one to understand how exactly the topological sectorsemerge in the continuum limit. Further studies however suggest that theobserved slowdown of the simulations at small lattice spacings is only partlycaused by the emergence of the sectors.

Topology, the Wilson flow and the HMC algorithm