Lattice data for the four-gluon vertex show an essentially constant F0 and an infrared-growing F2, while the ghost-gluon soft-gluon form factor matches previous calculations.
The four-gluon vertex from lattice QCD
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abstract
The four-gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four-gluon plays a role is the determination of the gluon propagator, a basic building block for QCD, using continuum methods. This four leg Green function is poorly known and we are only starting to grasp its non-perturbative structure. Here, we report on the computation of the one-particle irreducible four-gluon Green function, in the Landau gauge, with lattice simulations. Besides stating the problems associated with the computation, several form factors that characterise this Green function are measured.
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The four-gluon and ghost-gluon vertices in the Landau gauge from lattice simulations
Lattice data for the four-gluon vertex show an essentially constant F0 and an infrared-growing F2, while the ghost-gluon soft-gluon form factor matches previous calculations.