The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
| Autor: | Barrios, Nahuel, Peláez, Marcela, Reinosa, Urko, Wschebor, Nicolás |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 102, 114016 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.102.114016 |
| Popis: | The Curci-Ferrari model has been shown to provide a good grasp on pure Yang-Mills correlation functions in the Landau gauge, already at one-loop order. In a recent work, the robustness of these results has been tested by evaluating the two-loop corrections to the gluon and ghost propagators. We pursue this systematic investigation by computing the ghost-antighost-gluon vertex to the same accuracy in a particular kinematic configuration that makes the calculations simpler. Because both the parameters of the model and the normalizations of the fields have already been fixed in a previous work, the present calculation represents both a pure prediction and a stringent test of the approach. We find that the two-loop results systematically improve the comparison to Monte-Carlo simulations as compared to earlier one-loop results. The improvement is particularly significative in the SU($3$) case where the predicted ghost-antighost-gluon vertex is in very good agreement with the data. The same comparison in the SU($2$) case is not as good, however. This may be due to the presence of a larger coupling constant in the infrared in that case although we note that a similar mismatch has been quoted in non-perturbative continuum approaches. Despite these features of the SU($2$) case, it is possible to find sets of parameters fitting both the propagators and the ghost-antighost-gluon vertex to a reasonable accuracy. Comment: 31 pages, 12 figures |
| Databáze: | arXiv |
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