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

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

2007-02-08

arxiv.org/abs/hep-ph/0702092v1

JHEP 0703:076,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, bibtex

Scientific paper

10.1088/1126-6708/2007/03/076

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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