Gluon Schwinger-Dyson equation in the PT-BFM scheme

8th International Workshop on Hadron Physics

Narciso Ferreira, A.M.S.^1 ; Aguilar, A.C.^1

University of Campinas - UNICAMP, Institute of Physics Gleb Wataghin, Campinas, SP

13083-859, Brazil^1

关键词: Background field;    Continuum treatments;    Dyson equations;    Lattice simulation;    Perturbative QCD;    Pinch technique;    Ward identities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/706/5/052004/pdf
DOI  :  10.1088/1742-6596/706/5/052004

来源: IOP

【 摘 要 】

Schwinger-Dyson equations provide an appropriate framework for tackling non-perturbative QCD phenomena requiring a continuum treatment. However, an inadequate truncation of this tower of integral equations can compromise the symmetries underlying the theory in question. The synthesis of the Pinch Technique and the Background Field method provides a framework where it is possible to devise a self-consistent truncation scheme, exploiting the Ward identities satisfied by the effective Green's functions that emerge. In this work we review how this truncation scheme is implemented, and show that the new series of dressed diagrams for the background gluon propagator organizes itself in characteristic subsets that are individually transverse. In addition, we discuss how the Background Quantum identity connects the background gluon propagator with the conventional one, computed in the lattice simulations.