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.

10 pages, 1 figure

References in corpus (4)

• Infinite N phase transitions in continuum Wilson loop operators
• Critical slowing down and error analysis in lattice QCD simulations
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory

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• $\theta$-dependence and center symmetry in Yang-Mills theories
• Stealth dark matter confinement transition and gravitational waves
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Ergodic sampling of the topological charge using the density of states
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Topology of trace deformed Yang-Mills theory
• Group-Equivariant Diffusion Models for Lattice Field Theory
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence