Numerical Study of the Ghost-Ghost-Gluon Vertex on the Lattice
A. Mihara, A. Cucchieri, T. Mendes
Abstract
It is well known that, in Landau gauge, the renormalization function of the ghost-ghost-gluon vertex Z1(p2) is finite and constant, at least to all orders of perturbation theory. On the other hand, a direct non-perturbative verification of this result using numerical simulations of lattice QCD is still missing. Here we present a preliminary numerical study of the ghost-ghost-gluon vertex and of its corresponding renormalization function using Monte Carlo simulations in SU(2) lattice Landau gauge. Data were obtained in 4 dimensions for lattice couplings beta = 2.2, 2.3, 2.4 and lattice sides N = 4, 8, 16.
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