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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonperturbative structure of the ghost-gluon kernel

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Author(s):
Aguilar, A. C. [1] ; Ferreira, M. N. [2, 3, 4, 1] ; Figueiredo, C. T. [2, 3, 4, 1] ; Papavassiliou, J. [2, 3, 4]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Inst Phys Gleb Wataghin, BR-13083859 Campinas, SP - Brazil
[2] Univ Valencia, Dept Theoret Phys, E-46100 Valencia - Spain
[3] Univ Valencia, IFIC, E-46100 Valencia - Spain
[4] CSIC, E-46100 Valencia - Spain
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 99, n. 3 FEB 28 2019.
Web of Science Citations: 4
Abstract

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. (AU)

FAPESP's process: 18/09684-3 - The infrared properties of the transverse structure of the quark-gluon vertex
Grantee:Clara Teixeira Figueiredo
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support type: Research Projects - Thematic Grants
FAPESP's process: 16/11894-0 - Aspects of the dynamical mass generation in the formalism of the Schwinger-Dyson equations
Grantee:Clara Teixeira Figueiredo
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 17/07595-0 - Nonperturbative aspects of the QCD Green's functions
Grantee:Arlene Cristina Aguilar
Support type: Regular Research Grants