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arXiv · 2402.17534

Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics

Nahuel Barrios·Marcelo S. Guimaraes·Bruno W. Mintz·Letícia F. Palhares·Marcela Peláez
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Abstract

Correlation functions are important probes for the behavior of quantum field theories. Already at tree-level, the Refined Gribov Zwanziger (RGZ) effective action for Yang-Mills theories provides a good approximation for the gluon propagator, as compared to that calculated by nonperturbative methods such as Lattice Field Theory and Dyson-Schwinger Equations. However, the study of higher correlation functions of the RGZ theory is still at its beginning. In this work we evaluate the ghost-antighost-gluon vertex function in Landau gauge at one-loop level, in $d=4$ space-time dimensions for the gauge groups SU(2) and SU(3). More precisely, we extend the analysis conducted in [1] for the soft-gluon limit to an arbitrary kinematic configuration. We introduce renormalization group effects by means of a toy model for the running coupling and investigate the impact of such a model in the ultraviolet tails of our results. We find that RGZ results match fairly closely those from lattice simulations, Schwinger-Dyson equations and the Curci-Ferrari model for three different kinematic configurations. This is compatible with RGZ being a feasible theory for the strong interaction in the infrared regime.

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Nahuel Barrios, Marcelo S. Guimaraes, Bruno W. Mintz, Letícia F. Palhares, Marcela Peláez. 2024-02-27. Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics. https://doi.org/10.1103/physrevd.109.094039

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