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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 Ball-Chiu construction of the three-gluon vertex

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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
[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. 9 MAY 10 2019.
Web of Science Citations: 0

We present the detailed derivation of the longitudinal part of the three-gluon vertex from the Slavnov-Taylor identities that it satisfies, by means of a nonperturbative implementation of the Ball-Chiu construction; the latter, in its original form, involves the inverse gluon propagator, the ghost dressing function, and certain form factors of the ghost-gluon kernel. The main conceptual subtlety that renders this endeavor nontrivial is the infrared finiteness of the gluon propagator, and the resulting need to separate the vertex into two pieces, one that is intimately connected with the emergence of a gluonic mass scale, and one that satisfies the original set of Slavnov-Taylor identities, but with the inverse gluon propagator replaced by its ``kinetic{''} term. The longitudinal form factors obtained by this construction are presented for arbitrary Euclidean momenta, as well as special kinematic configurations, parametrized by a single momentum. A particularly preeminent feature of the components comprising the tree-level vertex is their considerable suppression for momenta below 1 GeV, and the appearance of the characteristic ``zero-crossing{''} in the vicinity of 100-200 MeV. Special combinations of the form factors derived with this method are compared with the results of recent large-volume lattice simulations, and are found to capture faithfully the rather complicated curves formed by the data. A similar comparison with results obtained from Schwinger-Dyson equations reveals a fair overall agreement, but with appreciable differences at intermediate energies. A variety of issues related to the distribution of the pole terms responsible for the gluon mass generation are discussed in detail, and their impact on the structure of the transverse parts is elucidated. In addition, a brief account of several theoretical and phenomenological possibilities involving these newly acquired results is presented. (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