Color dependence of the topological susceptibility in Yang-Mills theories

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(N-c) and Sp(N-c) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-N-c limit. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Automated summary

We propose a universal rescaling method for the ratio between topological susceptibility and string tension squared in four-dimensional Yang-Mills theories, which depends only on group factors. We apply this method to SU(N-c) and Sp(N-c) groups and compare lattice measurements from different independent collaborations. The results show that the numerical sequences in these two groups are compatible with each other, and we perform a combined fit and extrapolate to the large-N-c limit.