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arxiv hep-ph/0702092 v1 pith:NGYY5I4T submitted 2007-02-08 hep-ph

Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?

classification hep-ph
keywords gluonghostgluonsmomentumpropagatorward-slavnov-taylorwhenzero
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum while the gluon propagator diverges (although it may do so weakly enough not to be in contradiction with current lattice data) or that the 3-gluons vertex is non-regular when one momentum goes to zero. We stress that those results should be kept in mind when one studies the Infrared properties of the ghost and gluon propagators, for example by means of Dyson-Schwinger equations.

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