Gluon mass scale through nonlinearities and vertex interplay

Autor(es)

Aguilar, A. C. ; Ferreira, M. N. ; Figueiredo, C. T. ; Papavassiliou, J.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 100, n. 9, p. 19-pg., 2019-11-27.

Resumo

We present a novel analysis of the gluon gap equation, where its full nonlinear structure is duly taken into account. In particular, while in previous treatments the linearization of this homogeneous integral equation introduced an indeterminacy in the scale of the corresponding mass, the current approach determines it uniquely, once the value of the gauge coupling at a given renormalization point is used as input. A crucial ingredient for this construction is the "kinetic term" of the gluon propagator, whose form is not obtained from the complicated equation governing its evolution, but is rather approximated by suitable initial Ansatze, which are subsequently improved by means of a systematic iterative procedure. The multiplicative renormalization of the central equation is carried out following an approximate method, which is extensively employed in the studies of the standard quark gap equation. This approach amounts to the effective substitution of the vertex renormalization constants by kinematically simplified form factors of the three- and four-gluon vertices. The resulting numerical interplay, exemplified by the infrared suppression of the three-gluon vertex and the mild enhancement of the four-gluon vertex, is instrumental for obtaining positive-definite and monotonically decreasing running gluon masses. The resulting gluon propagators, put together from the gluon masses and kinetic terms obtained with this method, match rather accurately the data obtained from large-volume lattice simulations. (AU)

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