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

TL;DR

This paper calculates the topological susceptibility of SU(N) Yang-Mills theory in the large-N limit with high precision, using lattice simulations at multiple N values and lattice spacings, and employs open boundary conditions for feasibility.

Contribution

It provides a precise computation of the topological susceptibility in the large-N limit of SU(N) Yang-Mills theory, extending previous results with improved accuracy and methodology.

Findings

Achieved percent-level accuracy in susceptibility measurement.

Successfully extrapolated to large-N and continuum limits.

Demonstrated the effectiveness of open boundary conditions for large-N lattice simulations.

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.