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Nonperturbative study of the four gluon vertex

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Nonperturbative study of the four gluon vertex

dc.contributor.author	Binosi, Daniele
dc.contributor.author	Ibáñez Gil de Ramales, David
dc.contributor.author	Papavassiliou, Joannis
dc.date.accessioned	2015-04-10T07:45:57Z
dc.date.available	2015-04-10T07:45:57Z
dc.date.issued	2014
dc.identifier.uri	http://hdl.handle.net/10550/42974
dc.description.abstract	In this paper we study the nonperturbative structure of the SU(3) four-gluon vertex in the Landau gauge, concentrating on contributions quadratic in the metric. We employ an approximation scheme where 'one-loop' diagrams are computed using fully dressed gluon and ghost propagators, and tree-level vertices. When a suitable kinematical configuration depending on a single momentum scale p is chosen, only two structures emerge: the tree-level four-gluon vertex, and a tensor orthogonal to it. A detailed numerical analysis reveals that the form factor associated with this latter tensor displays a change of sign (zero-crossing) in the deep infrared, and finally diverges logarithmically. The origin of this characteristic behavior is proven to be entirely due to the masslessness of the ghost propagators forming the corresponding ghost-loop diagram, in close analogy to a similar effect established for the three-gluon vertex. However, in the case at hand, and under the approximations employed, this particular divergence does not affect the form factor proportional to the tree-level tensor, which remains finite in the entire range of momenta, and deviates moderately from its naive tree-level value. It turns out that the kinematic configuration chosen is ideal for carrying out lattice simulations, because it eliminates from the connected Green's function all one-particle reducible contributions, projecting out the genuine one-particle irreducible vertex. Motivated by this possibility, we discuss in detail how a hypothetical lattice measurement of this quantity would compare to the results presented here, and the potential interference from an additional tensorial structure, allowed by Bose symmetry, but not encountered within our scheme.
dc.language.iso	eng
dc.relation.ispartof	Journal Of High Energy Physics, 2014, vol. 09, num. 9, p. 059-1-059-32
dc.source	Binosi, Daniele Ibáñez Gil de Ramales, David Papavassiliou, Joannis 2014 Nonperturbative study of the four gluon vertex Journal Of High Energy Physics 09 9 059-1 059-32
dc.subject	Física
dc.title	Nonperturbative study of the four gluon vertex
dc.type	journal article	es_ES
dc.date.updated	2015-04-10T07:45:57Z
dc.identifier.doi	http://dx.doi.org/10.1007/JHEP09(2014)059
dc.identifier.idgrec	102033
dc.rights.accessRights	open access	es_ES