Abstract
We present novel lattice results for the form factors of the quenched three-gluon vertex of QCD, in two special kinematic configurations that depend on a single momentum scale. We consider three form factors, two associated with a classical tensor structure and one without tree-level counterpart, exhibiting markedly different infrared behaviors. Specifically, while the former display the typical suppression driven by a negative logarithmic singularity at the origin, the latter saturates at a small negative constant. These exceptional features are analyzed within the Schwinger-Dyson framework, with the aid of special relations obtained from the Slavnov-Taylor identities of the theory. The emerging picture of the underlying dynamics is thoroughly corroborated by the lattice results, both qualitatively as well as quantitatively.
Highlights
The three-gluon vertex is a central component of QCD [1,2,3], being intimately linked to a variety of fundamental nonperturbative phenomena, and the scrutiny of its properties has received considerable attention in recent years [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]
A noteworthy feature of this vertex in the Landau gauge is the infrared behavior of the form factors associated with the classical tensorial structures
In the case of the two “classical” form factors simulated, a considerable increase in the statistics permits us to obtain a cleaner signal of the infrared divergences that they display, and accurately determine their strength
Summary
The three-gluon vertex is a central component of QCD [1,2,3], being intimately linked to a variety of fundamental nonperturbative phenomena, and the scrutiny of its properties has received considerable attention in recent years [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]. In the case of the two “classical” form factors simulated, a considerable increase in the statistics permits us to obtain a cleaner signal of the infrared divergences that they display, and accurately determine their strength. This new information, in turn, enables us to probe more stringently, at the quantitative level, the underlying mechanisms associated with their emergence. The data obtained corroborate this prediction, being completely compatible with a finite rather than a divergent contribution at low momenta
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