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The European Physical Journal A

, Volume 33, Issue 4, pp 333–338 | Cite as

Quantitative comparison of filtering methods in lattice QCD

  • F. Bruckmann
  • C. Gattringer
  • E. -M. Ilgenfritz
  • M. Müller-Preussker
  • A. Schäfer
  • S. Solbrig
Regular Article - Theoretical Physics

Abstract.

We systematically compare filtering methods used to extract topological excitations (like instantons, calorons, monopoles and vortices) from lattice gauge configurations, namely APE-smearing and spectral decompositions based on lattice Dirac and Laplace operators. Each of these techniques introduces ambiguities, which can invalidate the interpretation of the results. We show, however, that all these methods, when handled with care, reveal very similar topological structures. Hence, these common structures are free of ambiguities and faithfully represent infrared degrees of freedom in the QCD vacuum. As an application we discuss an interesting power law for the clusters of filtered topological charge.

PACS.

12.38.-t Quantum chromodynamics 12.38.Gc Lattice QCD calculations 11.15.Ha Lattice gauge theory 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  • F. Bruckmann
    • 1
  • C. Gattringer
    • 2
  • E. -M. Ilgenfritz
    • 3
  • M. Müller-Preussker
    • 3
  • A. Schäfer
    • 1
  • S. Solbrig
    • 1
  1. 1.Institut für Theoretische PhysikUniversität RegensburgRegensburgGermany
  2. 2.Institut für Physik, FB Theoretische PhysikUniversität GrazGrazAustria
  3. 3.Institut für PhysikHumboldt-Universität zu BerlinBerlinGermany

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