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Nonperturbative study of the four gluon vertex

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Nonperturbative study of the four gluon vertex

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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.citation 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.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.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 10.1007/JHEP09(2014)059
dc.identifier.idgrec 102033
dc.rights.accessRights open access es_ES

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