Título:
Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders.
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Autor:
Barrios, Nahuel
Peláez, Marcela
Reinosa, Urko
Peláez, Marcela
Reinosa, Urko
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Tipo de documento:
Preprint
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Año de publicación:
2022
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Resumen:
We evaluate the three-gluon vertex with one vanishing external momentum within the Curci-
Ferrari (CF) model at two-loop order and compare our results to Landau-gauge lattice simulations
of the same vertex function for the SU(2) and SU(3) gauge groups in four dimensions. This extends
previous works [1, 2] that considered similarly the two-loop ghost and gluon two-point functions as
well as the two-loop ghost-antighost-gluon vertex (with vanishing gluon momentum). The parameters
of the model being adjusted by tting the two-point functions to available lattice data, our
evaluation of the three-gluon vertex arises as a pure prediction. We nd that two-loop corrections
systematically improve the agreement between the model and the lattice data as compared to earlier
one-loop calculations, with a better agreement in the SU(3) case as already seen in previous
studies. We also analyze the renormalization scheme dependence of our calculation. In all cases,
this dependence diminishes when two-loop corrections are included, which is consistent with the
perturbative CF paradigm. In addition, we study the low momentum regime of the three-gluon
vertex in relation with the possibility of zero-crossing. Within the CF model, we show that the
leading infrared behavior of the exact vertex is given by the same linear logarithm that arises at
one-loop order, multiplied by the all orders cubic ghost dressing function at zero-momentum (we
provide similar exact results for other vertex functions). We argue that this property remains true
within the FP framework under the assumption that the resummed gluon propagator features a
decoupling behavior. This shows that the zero-crossing is a property of the exact three-gluon vertex
function. Within the CF model, we nd however that the scale of the zero-crossing is considerably
reduced when going from one- to two-loop order. This seems consistent with some recent lattice
simulations [3]. Finally, our analysis also allows us to support recent claims about the dominance
of the tree-level tensor component.
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Physical Review D 106 (2022) 11, 114039.
Financiadores:
Fondo Clemente Estable de la ANII. FCE_1_2021_1_166479.
Citación:
Barrios, N., Peláez, M. y Reinosa, U. Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders [Preprint] Publicado en : Physical Review D 106 (2022) 11, 114039, 25 p. DOI: 10.1103/PhysRevD.106.114039.
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| BPR22.pdf | Preprint | 1.18 MB | Adobe PDF |