Evidence of ghost suppression in gluon mass scale dynamics

Autor(es)

Aguilar, A. C. ^[1] ; Binosi, D. ^{[2, 3]} ; Figueiredo, C. T. ^[1] ; Papavassiliou, J. ^{[4, 5, 6]}

Afiliação do(s) autor(es)

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

^[2] European Ctr Theoret Studies Nucl Phys & Related, Str Tabarelle 286, I-38123 Villazzano, TN - Italy

^[3] Fdn Bruno Kessler, Str Tabarelle 286, I-38123 Villazzano, TN - Italy

^[4] Univ Valencia, Dept Theoret Phys, E-46100 Valencia - Spain

^[5] Univ Valencia, IFIC, E-46100 Valencia - Spain

^[6] CSIC, Valencia 46100 - Spain

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 3 MAR 3 2018.
• Citações Web of Science: 8

Resumo

In this work we study the impact that the ghost sector of pure Yang-Mills theories may have on the generation of a dynamical gauge boson mass scale, which hinges on the appearance of massless poles in the fundamental vertices of the theory, and the subsequent realization of the well-known Schwinger mechanism. The process responsible for the formation of such structures is itself dynamical in nature, and is governed by a set of Bethe-Salpeter type of integral equations. While in previous studies the presence of massless poles was assumed to be exclusively associated with the background-gauge three-gluon vertex, in the present analysis we allow them to appear also in the corresponding ghost-gluon vertex. The full analysis of the resulting Bethe-Salpeter system reveals that the contribution of the poles associated with the ghost-gluon vertex are particularly suppressed, their sole discernible effect being a slight modification in the running of the gluon mass scale, for momenta larger than a few GeV. In addition, we examine the behavior of the (background-gauge) ghost-gluon vertex in the limit of vanishing ghost momentum, and derive the corresponding version of Taylor's theorem. These considerations, together with a suitable Ansatz, permit us the full reconstruction of the pole sector of the two vertices involved. (AU)

• 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