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Revisiting Gribov's Copies Inside The Horizon

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arxiv 1402.6235 v2 pith:Y63SYHCO submitted 2014-02-25 hep-th

Revisiting Gribov's Copies Inside The Horizon

classification hep-th
keywords copiesgribovhorizoninsideproblemtrivialableapply
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we recover the problem of legitimate topologically trivial Gribov copies inside the Gribov horizon. We avoid the reducibility problem which hampered the standard construction of van Baal, and then we are able to build a valid example with spherical symmetry. We also apply the same technique in the presence of a background of a Polyakov instanton in a Euclidian 3D spacetime, in order to study the effect of a non trivial environment in the generation of multiple copies inside the horizon.

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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.