Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement

Dudal, D.; van Egmond, D. M.; Reinosa, U.; Vercauteren, D.

doi:10.48550/arxiv.2206.06002

Cited by 1 publication

(1 citation statement)

References 127 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This allows for a reorganization of standard perturbation theory which avoids its bad behavior in the IR. 3 Recently, a connection between the CF model and the dynamical generation of condensates within the FP framework has been established [78]. 4 More precisely, the perturbative expansion parameter g 2 N/(16π 2 ) is found to lie below 1 both in the SU(2) case and in the SU(3) case.…”

Section: Introductionmentioning

confidence: 99%

Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders

Barrios¹,

Peláez²,

Reinosa³

2022

Preprint

View full text Add to dashboard Cite

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 fitting the two-point functions to available lattice data, our evaluation of the three-gluon vertex arises as a pure prediction. We find 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 study 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. Finally, 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 find 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].

show abstract

Section: Introductionmentioning

confidence: 99%