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

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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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  1. Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289, Darmstadt, Germany

    Markus Q. Huber & Lorenz von Smekal

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Huber, M.Q., von Smekal, L. On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory. J. High Energ. Phys. 2013, 149 (2013). https://doi.org/10.1007/JHEP04(2013)149

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