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

Ph. Boucaud (1) , J. P. Leroy (1) , A. Le Yaouanc (1) , A. Y. Lokhov (2) , J. Micheli (1) , O. Pène (1) , J. Rodríguez-Quintero (3) , C. Roiesnel (2)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
2 CPHT - Centre de Physique Théorique [Palaiseau]
3 DPTO FISICA APLICADA - Dipartimento Fisica Aplicada

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, A. Y. Lokhov, J. Micheli, et al.. Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?. Journal of High Energy Physics, 2007, 03, pp.076. ⟨10.1088/1126-6708/2007/03/076⟩. ⟨hal-00130150⟩