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Masslessness of ghosts in equivariantly gauge-fixed Yang--Mills theories

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arxiv hep-lat/0504023 v1 pith:3IPSFFT7 submitted 2005-04-29 hep-lat

Masslessness of ghosts in equivariantly gauge-fixed Yang--Mills theories

classification hep-lat
keywords equivariantlygauge-fixedyang--millsghosttheoryappearsbrstcalculation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the one-loop ghost self-energy in an equivariantly gauge-fixed Yang--Mills theory vanishes at zero momentum. A ghost mass is forbidden by equivariant BRST symmetry, and our calculation confirms this explicitly. The four-ghost self interaction which appears in the equivariantly gauge-fixed Yang--Mills theory is needed in order to obtain this result.

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