TY  - JOUR
AU  - Aguilar, A. C.
AU  - Ferreira, M. N.
AU  - Figueiredo, C. T.
AU  - Papavassiliou, J.
PY  - 2019
DA  - 2019//
TI  - Nonperturbative structure of the ghost-gluon kernel
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 034026
EP  - 26pp
VL  - 99
IS  - 3
PB  - Amer Physical Soc
AB  - The ghost-gluon scattering kernel is a special correlation function that is intimately connected with two fundamental vertices of the gauge sector of QCD: the ghost-gluon vertex, which may be obtained from it through suitable contraction, and the three-gluon vertex, whose Slavnov-Taylor identity contains that kernel as one of its main ingredients. In this work we present a detailed nonperturbative study of the five form factors comprising it, using as the starting point the "one-loop dressed" approximation of the dynamical equations governing their evolution. The analysis is carried out for arbitrary Euclidean momenta and makes extensive use of the gluon propagator and the ghost dressing function, whose infrared behavior has been firmly established from a multitude of continuum studies and large-volume lattice simulations. In addition, special Ansatze are employed for the vertices entering in the relevant equations, and their impact on the results is scrutinized in detail. Quite interestingly, the veracity of the approximations employed may be quantitatively tested by appealing to an exact relation, which fixes the value of a special combination of the form factors under construction. The results obtained furnish the two form factors of the ghostgluon vertex for arbitrary momenta and, more importantly, pave the way toward the nonperturbative generalization of the Ball-Chiu construction for the longitudinal part of the three-gluon vertex.
SN  - 2470-0010
UR  - https://arxiv.org/abs/1811.08961
UR  - https://doi.org/10.1103/PhysRevD.99.034026
DO  - 10.1103/PhysRevD.99.034026
LA  - English
N1  - WOS:000459909200003
ID  - Aguilar_etal2019
ER  -