On the zero-crossing of the three-gluon Green’s function from lattice simulations

¹ Department of Physics, University of Cyprus, POB 20537, 1678 Nicosia, Cyprus
² Laboratoire de Physique Théorique (UMR8627), CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
³ Dpto. Sistemas Físicos, Químicos y Naturales, Univ. Pablo de Olavide, 41013 Sevilla ; Spain
⁴ Dpto. Ciencias Integradas, Fac. Ciencias Experimentales; Universidad de Huelva, 21071 Huelva ; Spain.
⁵ Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA
⁶ Department of Physics, College of William and Mary, Williamsburg, VA 23187-8795, USA
⁷ Institute for Theoretical Physics, Universität Heidelberg, Philosophenweg 12, D-69120 Germany
⁸ CAFPE, Universidad de Granada, E-18071 Granada, Spain

^* Speaker, e-mail: jose.rodriguez@dfaie.uhu.es

Published online: 26 March 2018

Abstract

We report on some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green’s function by exploiting results from large-volume quenched lattice simulations. These lattice results have been obtained by using both tree-level Symanzik and the standard Wilson action, in the aim of assessing the possible impact of effects presumably resulting from a particular choice for the discretization of the action. The main resulting feature is the existence of a negative log-aritmic divergence at zero-momentum, which pulls the 3-gluon form factors down at low momenta and, consequently, yields a zero-crossing at a given deep IR momentum. The results can be correctly explained by analyzing the relevant Dyson-Schwinger equations and appropriate truncation schemes.