Cooling and the SU(2) Instanton Vaccuum

Abstract

We present results of an investigation into the nature of instantons in 4-dimensional pure gauge lattice $SU(2)$\ obtained from configurations which have been cooled using an under-relaxed cooling algorithm. We discuss ways of calibrating the cooling and the effects of different degrees of cooling, and compare our data for the shapes, sizes and locations of instantons with continuum results. In this paper we extend the ideas and techniques developed by us for use in $O(3)$, and compare the results with those obtained by other groups.

22 pages, LaTeX, uuencoded compressed tarfile of figures sent separately. Full (compressed) postscript version (118k)available from ftp://rock.helsinki.fi/pub/preprints/tft/Year1995/HU-TFT-95-21/paper.ps.Z

References in corpus (8)

• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
• Multi-Quark Energies in SU(2) Lattice Gauge Theory
• Instanton size distribution in O(3)
• Instanton size distributions from calibrated cooling
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Topological Density and Instantons on a Lattice

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