Topological Structure of the QCD Vacuum Revealed by Overlap Fermions

Ernst-Michael Ilgenfritz (), Karl Koller (), Yoshiaki Koma (), Gerrit Schierholz () and Volker Weinberg ()
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Ernst-Michael Ilgenfritz: Humboldt-Universität zu Berlin, Institut für Physik
Karl Koller: Ludwig-Maximilians-Universität München, Fakultät für Physik
Yoshiaki Koma: Numazu College of Technology
Gerrit Schierholz: Universität Regensburg, Institut für Theoretische Physik
Volker Weinberg: Leibniz-Rechenzentrum der Bayerischen Akademie der Wissenschaften

A chapter in High Performance Computing in Science and Engineering, Garching/Munich 2009, 2010, pp 475-487 from Springer

Abstract: Abstract Overlap fermions preserve a remnant of chiral symmetry on the lattice. They are a powerful tool to investigate the topological structure of the vacuum of Yang-Mills theory and full QCD. Recent results concerning the localization of topological charge and the localization and local chirality of the overlap eigenmodes are reported. The charge distribution is radically different, if a spectral cut-off for the Dirac eigenmodes is applied. The density q(x) is changing from the scale-a charge density (with full lattice resolution) to the ultraviolet filtered charge density. The scale-a density, computed on the Linux cluster of LRZ, has a singular, sign-coherent global structure of co-dimension 1 first described by the Kentucky group. We stress, however, the cluster properties of the UV filtered topological density resembling the instanton picture. The spectral cut-off can be mapped to a bosonic smearing procedure. The UV filtered field strength reveals a high degree of (anti)selfduality at “hot spots” of the action. The fermionic eigenmodes show a high degree of local chirality. The lowest modes are seen to be localized in low-dimensional space-time regions.

Keywords: Topological Structure; Chiral Symmetry; Zero Mode; Topological Charge; Topological Density (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-13872-0_40

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DOI: 10.1007/978-3-642-13872-0_40

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