The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory

Abstract

We compute the topological susceptibility of the SU(N) Yang-Mills theory in the large-N limit with a percent level accuracy. This is achieved by measuring the gradient-flow definition of the susceptibility at three values of the lattice spacing for N=3,4,5,6. Thanks to this coverage of parameter space, we can extrapolate the results to the large-N and continuum limits with confidence. Open boundary conditions are instrumental to make simulations feasible on the finer lattices at the larger N.

arXiv comment10 pages, 1 figure

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• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
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• Topology of trace deformed Yang-Mills theory
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• Group-Equivariant Diffusion Models for Lattice Field Theory