Schwinger-Dyson equations: a tool for non-perturbative QCD

• Grant number: 12/15643-1
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2012
• End date: April 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Arlene Cristina Aguilar
• Grantee: Arlene Cristina Aguilar
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated researchers: Daniele Binosi ; Joannis Papavassiliou

Abstract

The aim of this project is to explore the complementarity between the two non-perturbative methods available to describe the QCD strong coupling regime: Lattice QCD and the Schwinger-Dyson equations. By feeding the Schwinger-Dyson equations with the data obtained in the lattice simulations, we will be able to improve truncation schemes and Ansätze for the Green's functions employed in the Schwinger-Dyson analysis. Our project consists of five (5) main parts which will be studied simultaneously. They are: (i) include the two-loop dressed diagrams in the Schwinger-Dyson equations in order to obtain a better quantitative agreement with the Lattice QCD results, (ii) determine the infrared behavior of QCD coupling constant in the presence of fields of quarks, (iii) study the coupled system of equations for the gluon-ghost propagators in the Feynman gauge, and (iv) unravel the properties and the Ward identities of the four propagators (diagonal and non-diagonal) which are present in the maximal Abelian gauge and finally (v) study the longitudinal and the transverse form factors of the quark-gluon vertex in general kinematics configurations, with the ultimate aim of building a kernel for the Bethe-Salpeter equation. (AU)

Scientific publications

(9)

(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.; BINOSI, D.; PAPAVASSILIOU, J.. Yang-Mills two-point functions in linear covariant gauges. Physical Review D, v. 91, n. 8, APR 9 2015. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; PAPAVASSILIOU, J.. The gluon mass generation mechanism: A concise primer. FRONTIERS OF PHYSICS, v. 11, n. 2, APR 2016. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; PAPAVASSILIOU, J.. Gluon mass generation in the presence of dynamical quarks. Physical Review D, v. 88, n. 7, OCT 10 2013. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; IBANEZ, D.; PAPAVASSILIOU, J.. New method for determining the quark-gluon vertex. Physical Review D, v. 90, n. 6, p. 26-pg., 2014-09-23. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; PAPAVASSILIOU, J.. Yang-Mills two-point functions in linear covariant gauges. Physical Review D, v. 91, n. 8, p. 14-pg., 2015-04-09. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; IBANEZ, D.; PAPAVASSILIOU, J.. New method for determining the quark-gluon vertex. Physical Review D, v. 90, n. 6, SEP 23 2014. (12/15643-1)

AGUILAR, A. C.; IBANEZ, D.; PAPAVASSILIOU, J.. Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations. Physical Review D, v. 87, n. 11, JUN 27 2013. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; PAPAVASSILIOU, J.. Renormalization group analysis of the gluon mass equation. Physical Review D, v. 89, n. 8, APR 18 2014. (12/15643-1)

AGUILAR, A. C.; BINOSI, D.; IBANEZ, D.; PAPAVASSILIOU, J.. Effects of divergent ghost loops on the Green's functions of QCD. Physical Review D, v. 89, n. 8, APR 3 2014. (12/15643-1)