Abstract
Correlation functions of Yang-Mills theory in the Landau gauge are calculated from their equations of motion. The employed setup is completely parameter free and leads, within errors, to good quantitative agreement with corresponding lattice results for the ghost and gluon propagators as well as the ghost-gluon and three-gluon vertices. Also the four-gluon vertex is calculated. The present setup allows for the first time for a unique subtraction of quadratic divergences in the gluon propagator Dyson-Schwinger equation. Thus, there are no ambiguities which can arise due to the use of models or auxiliary workarounds. In addition, several self-tests of the results are described that allow assessing the truncation error in a self-consistent way. This enables a new perspective on how to identify limitations of the present setup and develop future improvements.
Highlights
Quantum chromodynamics (QCD) describes the strongly interacting part of the Standard Model and exhibits a rich phenomenology
All calculations were done for the gauge group SUð3Þ, but they are equivalent for all SUðNÞ under rescaling g2Nc
The approximation for the three-gluon vertex consists of taking into account only one out of four transverse dressing functions
Summary
Quantum chromodynamics (QCD) describes the strongly interacting part of the Standard Model and exhibits a rich phenomenology. Describing it from first principles is a challenge for contemporary physics. Functional methods are one possible approach for this. Some form of approximation is required, and often models are used to fill the gaps. This has led to a successful description of many bound states and allowed exploring the phase structure of QCD; see [1,2] and [3,4] for reviews, respectively. It seems within reach to establish a direct link between the QCD action and its phenomenology with functional equations
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