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BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge

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arxiv 1405.1547 v1 pith:UXKKPXFK submitted 2014-05-07 hep-lat hep-th

Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel This is my paper · ORCID
classification hep-lathep-th
keywords propagatorbose-ghostgaugebreakingbrst-symmetryfirstfunctionlandau
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The Bose-ghost propagator has been proposed as a carrier of the confining force in Yang-Mills theories in minimal Landau gauge. We present the first numerical evaluation of this propagator, using lattice simulations for the SU(2) gauge group in the scaling region. Our data are well described by a simple fitting function, which is compatible with an infrared-enhanced Bose-ghost propagator. This function can also be related to a massive gluon propagator in combination with an infrared-free (Faddeev-Popov) ghost propagator. Since the Bose-ghost propagator can be written as the vacuum expectation value of a BRST-exact quantity and should therefore vanish in a BRST-invariant theory, our results provide the first numerical manifestation of BRST-symmetry breaking due to restriction of gauge-configuration space to the Gribov region.

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  1. Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies

    hep-th 2025-02 conditional novelty 5.0 of 10

    Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.

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