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Quantitative comparison of filtering methods in lattice QCD

2006/12/31 by Falk Bruckmann, F. Bruckmann, C. Gattringer +9 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1140/epja/i2007-10459-5

published as Eur.Phys.J.A33:333-338,2007 · 6 pages, 18 plots in 5 figures; final version as published in EPJ A; section 4 was added

openalex publication_date 2007/09/01 · arxiv created 2007/10/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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