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arXiv · 2312.07608

Dynamically massive linear covariant gauges: setup and first results

Giorgio Comitini·Tim De Meerleer·David Dudal·Silvio Paolo Sorella
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Abstract

We discuss the possibility to obtain a massive Landau gauge, based on the local composite operator (LCO) effective action framework combined with the Zimmerman reduction of couplings prescription. As a way to deal with the gauge ambiguity, we check that the ghost propagator remains positive, a necessary condition for gluon field configurations beyond the Gribov region to be negligible. We pay attention to the BRST invariance of the construction, allowing for a future generalization to a class of massive linear covariant gauges. As a litmus test, we compare our predictions to the lattice data for the two-point functions in Landau gauge introducing the "Dynamically Infrared-Safe" renormalization scheme, including the renormalization group optimization of both the gap equation and the two-point functions. We also discuss the relation to and differences with the Curci-Ferrari model, the usefulness of which in providing an effective perturbative description of non-perturbative Yang-Mills theories became clear during recent years.

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Giorgio Comitini, Tim De Meerleer, David Dudal, Silvio Paolo Sorella. 2023-12-11. Dynamically massive linear covariant gauges: setup and first results. https://doi.org/10.1103/physrevd.109.014037

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