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A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions

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arxiv 1201.2445 v2 pith:HQHFKI2M submitted 2012-01-12 hep-th hep-lathep-ph

A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions

M. A. L. Capri , M. S. Guimaraes , S. P. Sorella , D. G. Tedesco This is my paper
classification hep-th hep-lathep-ph
keywords dimensionseuclideanfaddeev-popovgaugelandaumodesoperatortheories
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Examples of normalizable zero modes of the Faddeev-Popov operator in SU(2) Euclidean Yang-Mills theories in the Landau gauge are constructed in d=2,3,4 dimensions.

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  1. Some Remarks on the Spectral Geometry of the Gribov Horizon

    hep-th 2026-07 accept novelty 6.0

    For the SU(2) hedgehog with h=9gr/(r^3+1)^2, the reduced Faddeev-Popov operator is positive exactly for -2<g<1, with normalizable threshold zero modes at both endpoints.