Nonperturbative structure of the ghost-gluon kernel

Autor(es)

Aguilar, A. C. ^[1] ; Ferreira, M. N. ^{[2, 3, 4, 1]} ; Figueiredo, C. T. ^{[2, 3, 4, 1]} ; Papavassiliou, J. ^{[2, 3, 4]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Physical Review D; v. 99, n. 3 FEB 28 2019.
• Citações Web of Science: 5

Resumo

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)

• Processo FAPESP: 18/09684-3 - Propriedades infravermelha da estrutura transversa do vértice quark-gluon
• Beneficiário: Clara Teixeira Figueiredo
• Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 17/05685-2 - Física hadrônica em colisões nucleares de altas energias
• Beneficiário: Jun Takahashi
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/11894-0 - Aspectos da geração de massa dinâmica dentro do formalismo das Equações de Schwinger-Dyson
• Beneficiário: Clara Teixeira Figueiredo
• Linha de fomento: Bolsas no Brasil - Doutorado
• Processo FAPESP: 17/07595-0 - Aspectos não-perturbativos das funções de Green da QCD
• Beneficiário: Arlene Cristina Aguilar
• Linha de fomento: Auxílio à Pesquisa - Regular