One of the greatest contemporary challenges in the study of strongly interactingmatter in the StandardModel of Particle Physics is the understanding of the physical mechanisms behind quark-gluon confinement and hadron formation. The Schwinger-Dyson equations of quantum chromodynamics (QCD) provide a nonperturbative, Poincaré covariant framework to investigate the infrared as well as the ultraviolet behavior of quark and gluon n-point Green functions. They are the basic ingredients in the description of structure properties for hadrons through covariant bound-state equations: the Bethe-Salpeter equation for mesons, and the Faddeev equation for baryons. They comprise an infinite set of coupled integral equations that, for practical purposes, a truncation scheme that preserves local and global symmetries of QCD needs to be specified. In the present project, we aim to investigatelight and heavy-light mesons implementing two different truncation schemes: 1) the decoupling of the gap equation from higher order Green function SDEs by introducing an ansatz for the 3-point quark-gluon vertex, which satisfies the Slavnov-Taylor and transverse Takahashi identities, and an ansatz for the gluon propagator; and 2) use of Dressed Perturbation Theory, which allows for the computation of Green functions as a power series with dressed quark and gluon propagators.
News published in Agência FAPESP Newsletter about the scholarship: