Aspects of the dynamical mass generation in the formalism of the Schwinger-Dyson equations

• Grant number: 16/11894-0
• Support type: Scholarships in Brazil - Doctorate
• Effective date (Start): October 01, 2016
• Effective date (End): July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Arlene Cristina Aguilar
• Grantee: Clara Teixeira Figueiredo
• Home Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 18/09684-3 - The infrared properties of the transverse structure of the quark-gluon vertex, BE.EP.DR

Abstract

In this project we propose to perform a detailed analysis of the various aspects involved in the phenomenon of dynamical gluon mass generation using as tool the so-called Schwinger-Dyson equations. This analysis will be carried out within the theoretical framework that emerges from the combination of the pinch technique with the background field method. Our project is divided into four main parts, which will be studied simultaneously. More specifically, they are as follow: (i) to include the effects of the two-loops dressed diagrams in the gluon Schwinger-Dyson equation, in order to obtain a better quantitative agreement with the lattice results; (ii) to study the form factors of the three and four gluon vertices entering into the definition of the gluon Schwinger-Dyson equation; (iii) to derive and analyze the solutions of theBethe-Salpeter equations, which describe the formation of dynamical massless poles, that are crucial for the gluon mass generation; and finally (iv) to study the Schwinger-Dyson equations for the gluon and the quark propagators in general covariant gauges. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

AGUILAR, A. C.; FERREIRA, M. N.; FIGUEIREDO, C. T.; PAPAVASSILIOU, J. Nonperturbative Ball-Chiu construction of the three-gluon vertex. Physical Review D, v. 99, n. 9 MAY 10 2019. Web of Science Citations: 0.

AGUILAR, A. C.; FERREIRA, M. N.; FIGUEIREDO, C. T.; PAPAVASSILIOU, J. Nonperturbative structure of the ghost-gluon kernel. Physical Review D, v. 99, n. 3 FEB 28 2019. Web of Science Citations: 4.

AGUILAR, A. C.; BINOSI, D.; FIGUEIREDO, C. T.; PAPAVASSILIOU, J. Evidence of ghost suppression in gluon mass scale dynamics. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 3 MAR 3 2018. Web of Science Citations: 5.