Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations

Autor(es)

Aguilar, A. C. ^[1] ; Ibanez, D. ^{[2, 3, 4]} ; Papavassiliou, J. ^{[2, 3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Phys Gleb Wataghin, BR-13083859 Sao Paulo - 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. 87, n. 11 JUN 27 2013.
• Citações Web of Science: 36

Resumo

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for the ghost dressing function, in the same gauge, and derive its integral equation, in the ``one-loop dressed{''} approximation. We consider two special kinematic configurations, which simplify the momentum dependence of the unknown quantity; in particular, we study the soft gluon case and the well-known Taylor limit. When coupled with the Schwinger-Dyson equation of the ghost dressing function, the contribution of this form factor provides considerable support to the relevant integral kernel. As a consequence, the solution of this coupled system of integral equations furnishes a ghost dressing function that reproduces the standard lattice results rather accurately, without the need to artificially increase the value of the gauge coupling. (AU)

• Processo FAPESP: 12/15643-1 - Equações de Schwinger Dyson: uma ferrramenta para a QCD não-perturbativa
• Beneficiário: Arlene Cristina Aguilar
• Modalidade de apoio: Auxílio à Pesquisa - Regular