Gluon dynamics from an ordinary differential equation

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Campinas UNICAMP, Inst Phys Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

^[2] CSIC, Valencia 46100 - Spain

^[3] Univ Valencia, Dept Theoret Phys, Valencia 46100 - Spain

^[4] Univ Valencia, IFIC, Valencia 46100 - Spain

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 81, n. 1 JAN 20 2021.
• Citações Web of Science: 1

Resumo

We present a novel method for computing the nonperturbative kinetic term of the gluon propagator from an ordinary differential equation, whose derivation hinges on the central hypothesis that the regular part of the three-gluon vertex and the aforementioned kinetic term are related by a partial Slavnov-Taylor identity. The main ingredients entering in the solution are projection of the three-gluon vertex and a particular derivative of the ghost-gluon kernel, whose approximate form is derived from a Schwinger-Dyson equation. Crucially, the requirement of a pole-free answer determines the initial condition, whose value is calculated from an integral containing the same ingredients as the solution itself. This feature fixes uniquely, at least in principle, the form of the kinetic term, once the ingredients have been accurately evaluated. In practice, however, due to substantial uncertainties in the computation of the necessary inputs, certain crucial components need be adjusted by hand, in order to obtain self-consistent results. Furthermore, if the gluon propagator has been independently accessed from the lattice, the solution for the kinetic term facilitates the extraction of the momentum-dependent effective gluon mass. The practical implementation of this method is carried out in detail, and the required approximations and theoretical assumptions are duly highlighted. (AU)

• Processo FAPESP: 20/12795-1 - Evolução do tensor energia momento durante a fase de pré-equilíbrio de uma colisão de íons pesados
• Beneficiário: Antonio Maurício Soares Narciso Ferreira
• Modalidade de apoio: Bolsas no Brasil - Pós-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