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- W2088293812 abstract "Green's functions are a central element in the attempt to understand nonperturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green's functions play a significant role, since they permit access to the running coupling constant and are an important input in functional methods. Here we present numerical results for the two nonvanishing 3-point Green's functions in 3d pure SU(2) Yang-Mills theory in (minimal) Landau gauge, i.e. the three-gluon vertex and the ghost-gluon vertex, considering various kinematical regimes. In this exploratory investigation the lattice volumes are limited to ${20}^{3}$ and ${30}^{3}$ at $ensuremath{beta}=4.2$ and $ensuremath{beta}=6.0$. We also present results for the gluon and the ghost propagators, as well as for the eigenvalue spectrum of the Faddeev-Popov operator. Finally, we compare two different numerical methods for the evaluation of the inverse of the Faddeev-Popov matrix, the point-source and the plane-wave-source methods." @default.
- W2088293812 created "2016-06-24" @default.
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- W2088293812 date "2006-07-06" @default.
- W2088293812 modified "2023-10-18" @default.
- W2088293812 title "Exploratory study of three-point Green’s functions in Landau-gauge Yang-Mills theory" @default.
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- W2088293812 doi "https://doi.org/10.1103/physrevd.74.014503" @default.
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