Color dependence of the topological susceptibility in Yang-Mills theories

TL;DR

This paper proposes a universal rescaling of the topological susceptibility to string tension ratio in Yang-Mills theories, demonstrating compatibility across different gauge groups and extrapolating to the large-Nc limit.

Contribution

It introduces a universal rescaling method for topological susceptibility in Yang-Mills theories and compares results across different gauge groups, leading to a combined large-Nc extrapolation.

Findings

Rescaled ratios are compatible across SU(Nc) and Sp(Nc) groups.

The combined data supports a universal behavior in the large-Nc limit.

The approach unifies lattice results from multiple collaborations.

Abstract

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.