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arXiv · 1211.6092

On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory

Markus Q. Huber·Lorenz von Smekal
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Abstract

We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations. By including it dynamically we can determine its influence on the propagators. We also suggest a new model for the three-gluon vertex motivated by lattice data which plays a crucial role to obtain stable solutions when the ghost-gluon vertex is included. We find that both vertices have a sizable quantitative impact on the mid-momentum regime and contribute to the reduction of the gap between lattice and Dyson-Schwinger equation results. Furthermore, we establish that the three-gluon vertex dressing turns negative at low momenta as suggested by lattice results in three dimensions.

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Markus Q. Huber, Lorenz von Smekal. 2013-04-24. On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory. https://doi.org/10.1007/jhep04(2013)149

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