The topological susceptibility slope χ′ of the pure-gauge SU(3) Yang-Mills theory

Abstract

Abstract We determine the pure-gauge SU(3) topological susceptibility slope χ′, related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice Monte Carlo simulations. Our strategy consists in performing a double-limit extrapolation: first we take the continuum limit at fixed smoothing radius, then we take the zero-smoothing-radius limit. Our final result is χ′ = [17.1(2.1) MeV]2. We also discuss a theoretical argument to predict its value in the large-N limit, which turns out to be remarkably close to the obtained N = 3 lattice result.