Ghost dynamics from Schwinger-Dyson equations


  • Mauricio Narciso Ferreira Institute of Physics "Gleb Wataghin", University of Campinas - UNICAMP



Non perturbative QCD, Schwinger-Dyson equations, ghost propagator, ghost-gluon vertex, three-gluon vertex


We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon propagator and an approximate STI-derived Ansatz for the general kinematics three-gluon vertex. The numerical solution of the resulting coupled system exhibits excellent agreement to lattice data, for both the ghost dressing function and the ghost-gluon vertex, and allows the determination of the coupling constant. Next, in the soft gluon limit the full three-gluon vertex appearing in the ghost-gluon equation reduces to a special projection that is tightly constrained by lattice simulations. Specializing the ghost-gluon Schwinger-Dyson equation to this limit provides a nontrivial consistency check on the approximations employed for the three-gluon interaction and shows that the latter has an important quantitative effect on the ghost-gluon vertex. Finally, our results stress the importance of eliminating artifacts when confronting lattice data with continuum predictions.


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How to Cite

Narciso Ferreira M. Ghost dynamics from Schwinger-Dyson equations. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 14 [cited 2022 Dec. 9];3(3):0308100 1-6. Available from: