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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.)

Gluon mass scale through nonlinearities and vertex interplay

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Author(s):
Aguilar, A. C. [1] ; Ferreira, M. N. [2, 3, 4, 1] ; Figueiredo, C. T. [2, 3, 4, 1] ; Papavassiliou, J. [2, 3, 4]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Inst Phys Gleb Wataghin, BR-13083859 Campinas, SP - 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
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 100, n. 9 NOV 27 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 18/09684-3 - The infrared properties of the transverse structure of the quark-gluon vertex
Grantee:Clara Teixeira Figueiredo
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support type: Research Projects - Thematic Grants
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 type: Scholarships in Brazil - Doctorate
FAPESP's process: 17/07595-0 - Nonperturbative aspects of the QCD Green's functions
Grantee:Arlene Cristina Aguilar
Support type: Regular Research Grants