Further Evidence For Zero Crossing On The Three Gluon Vertex

Abstract

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor a zero crossing of the gluon form factor for momenta in the range $220-260$ MeV. This zero crossing is required to happen in order to have a properly defined set of Dyson-Schwinger equations. It is also shown that in the high momentum region the lattice results are compatible with the predictions of renormalisation group improved perturbation theory.

arXiv comment8 pages, 6 figures

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• Gauge Sector Dynamics in QCD
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• QCD Running Couplings and Effective Charges
• Emergent Hadron Mass in Strong Dynamics
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Schwinger mechanism in linear covariant gauges
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