A Dyson–Schwinger study of the four-gluon vertex

The European Physical Journal C

Lorenz von Smekal¹  Anton K. Cyrol²  Markus Q. Huber³ 

[1] Technische Universität Darmstadt, Institut für Kernphysik, Theoriezentrum, 64289, Darmstadt, Germany;Justus-Liebig-Universität Gießen, Institut für Theoretische Physik, 35392, Gießen, Germany;Technische Universität Darmstadt, Institut für Kernphysik, Theoriezentrum, 64289, Darmstadt, Germany;Ruprecht-Karls-Universität Heidelberg, Institut für Theoretische Physik, 69120, Heidelberg, Germany;University of Graz, Institute of Physics, NAWI Graz, 8010, Graz, Austria;

关键词: Ghost;    Mill Theory;    Gluon Propagator;    Renormalization Constant;    Landau Gauge;   

DOI  :  10.1140/epjc/s10052-015-3312-1

来源: Springer

【 摘 要 】

We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang–Mills theory from a truncated Dyson–Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous Dyson–Schwinger calculations that are in good agreement with lattice data. All quantities are therefore fixed and no higher Green functions enter within this truncation. Our self-consistent solution resolves the full momentum dependence of the vertex but is limited to the tree-level tensor structure at the moment. Calculations of selected dressing functions for other tensor structures from this solution are used to exemplify that they are suppressed compared to the tree-level structure except for possible logarithmic enhancements in the deep infrared. Our results furthermore allow one to extract a qualitative fit for the vertex and a running coupling.

【 授权许可】

CC BY