In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern in 2+1D with factor 2.
Four-gluon vertex from the Curci-Ferrari model at one-loop order
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abstract
We compute the four-gluon vertex from the Curci-Ferrari model at one-loop order for a collinear configuration. Our results display a good agreement with the first lattice data for this vertex, released very recently (arXiv:2401.12008). A noteworthy novelty of our work is that we can provide analytical expressions for the four-gluon vertex in collinear configurations, together with a renormalization scheme that allows us to perform reliable perturbative computations even in the infrared regime. We observe an infrared suppression in the form factor associated with the tree-level four-gluon tensor with a possible zero-crossing in the deep infrared which demands new lattice investigations to be confirmed. Moreover, we report an infrared divergence in the completely symmetric tensor form factor due to the ghost-loop contributions. These results come as predictions since previous two-point correlations fix all the available parameters of the model, up to an overall constant factor.
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Non-Abelian Casimir energy in the Curci-Ferrari model through a functional approach
In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern in 2+1D with factor 2.