Geometric Measurement of Topological Susceptibility on Large Lattices

TL;DR

This paper measures the topological susceptibility in quenched QCD on large lattices across various parameters, addressing potential lattice artifacts and confirming scaling behavior through multiple physical ratios.

Contribution

It introduces a geometric method for measuring topological susceptibility on large lattices and assesses the impact of lattice dislocations on the results.

Findings

Charges from lattice dislocations have minimal effect on susceptibility.

Fewer dislocation-induced charges are found at higher beta values.

Scaling ratios with physical quantities are consistent across lattice sizes.

Abstract

The topological susceptibility of the quenched QCD vacuum is measured on large lattices for three $\beta$ values from $6.0$ to $6.4$. Charges possibly induced by $O(a)$ dislocations are identified and shown to have little effect on the measured susceptibility. As $\beta$ increases, fewer such questionable charges are found. Scaling is checked by examining the ratios of the susceptibility to previously existing values of the rho mass, string tension, F-pi, and lambda-lattice.