Instanton Content of the SU(3) Vacuum

Abstract

We study the topological content of the SU(3) vacuum using a method based on RG mapping developed for SU(2) gauge theory earlier. RG mapping, in which a series of APE-smearing steps is done while tracking the observables, reduces the short range fluctuations in the gauge fields while preserving the long structure. This allows us to study the instanton size distribution and topological susceptibility for SU(3) gauge theory. We arrive at a value for the topological susceptibility ${\chi }^{1/4}$, of 203(5) MeV. The size distribution peaks at $\rho =0.3fm$, and is in good agreement with the prediction of the instanton liquid models.

3 pages,LaTeX,3 eps figures,LATTICE98(confine)

Cited by in corpus (8)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Topological structure of chiral QCD vacuum
• Infrared degrees of freedom of Yang-Mills theory in the Schroedinger representation
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• QCD-Instantons and Conformal Space-Time Inversion Symmetry
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Can instantons saturate the large mass of the ${\eta }^{\prime }$ meson in the chiral limit?