Scaling behavior and volume dependence of the SU(2) topological susceptibility
Abstract
Previous computations of the topological susceptibility χ _{t}, using numerical simulations of lattice gauge theory, are extended in a number of ways. Most significantly, the statistical errors are now a few %. The precision permits a discussion of finitevolume and finitelatticespacing effects. Latticespacing effects seem to be under control; we estimate the density of "lattice artifacts" and find that it vanishes in the (quantum) continuum limit of the Wilson action. Moreover, χ _{t} follows asymptotic scaling for 2.5 ≤ β ≤ 2.7 and deviates only slightly from it for 2.2 ≤ β ≤ 2.5. In intermediate volumes χ _{t} rises monotonically in the region 0.6 ≤ z _{t} ≤ 1.8, where z _{t} = Laχ _{t}^{{1}/{4}} dimensionless measure of the physical volume of the system. For z_{t} ≥ 1.8 the susceptibility is constant, within statistical errors, yielding the value χ _{t}=V → ∞ [(38.7 ± 0.2)Λ _{lat}] ^{4}.
 Publication:

Nuclear Physics B
 Pub Date:
 September 1988
 DOI:
 10.1016/05503213(88)906876
 Bibcode:
 1988NuPhB.305..109K