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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Evidence of ghost suppression in gluon mass scale dynamics

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Author(s):
Aguilar, A. C. [1] ; Binosi, D. [2, 3] ; Figueiredo, C. T. [1] ; Papavassiliou, J. [4, 5, 6]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 6
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 3 MAR 3 2018.
Web of Science Citations: 8
Abstract

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)

FAPESP's process: 16/11894-0 - Aspects of the dynamical mass generation in the formalism of the Schwinger-Dyson equations
Grantee:Clara Teixeira Figueiredo
Support Opportunities: Scholarships in Brazil - Doctorate