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Spectral properties of the Landau gauge Faddeev-Popov operator in lattice gluodynamics

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arxiv hep-lat/0510109 v1 pith:RVNXP4XN submitted 2005-10-26 hep-lat

A. Sternbeck , E.-M. Ilgenfritz , M. Mueller-Preussker This is my paper · ORCID
classification hep-lat
keywords latticeeigenmodesghostspectralfaddeev-popovgaugegluodynamicslandau
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abstract

Recently we reported on the infrared behavior of the Landau gauge gluon and ghost dressing functions in SU(3) Wilson lattice gluodynamics with special emphasis on the Gribov problem. Here we add an investigation of the spectral properties of the Faddeev-Popov operator at $\beta$=5.8 and 6.2 for lattice sizes 12^4, 16^4 and 24^4. The larger the volume the more of its eigenvalues are found accumulated close to zero. Using the eigenmodes for the spectral representation it turns out that for our smallest lattice O(200) eigenmodes are sufficient to saturate the ghost propagator at lowest momentum. We associate exceptionally large values of the ghost propagator to extraordinary contributions of low-lying eigenmodes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Blind Spots of the Zwanziger Horizon Function

    hep-lat 2026-08 conditional novelty 6.0 of 10

    For radial SU(2) hedgehog backgrounds, the first Faddeev-Popov zero mode can be orthogonal to the source in Zwanziger's horizon function, making the first Gribov-horizon crossing source-dark.

  2. Birman-Schwinger Formulation of the Faddeev-Popov Zero-Mode Problem

    hep-th 2026-07 conditional novelty 6.0 of 10

    The first Gribov horizon of a transverse gauge background equals the first appearance of −1 in the spectrum of a normalized Birman-Schwinger operator, via an inertia-preserving congruence rather than a similarity.

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