Nonperturbative aspects of the QCD Green's functions

Abstract

In this project we will study some of the key aspects for understanding the dynamics of the fundamental QCD infrared Green's functions. To do that, we will employ the Schwinger-Dyson equations in the framework of the Pinch Technique and Background Field Method (PT-BFM). The project is divided into seven main topics. In the first topic, we will study (i) the longitudinal form factors of the three-gluon vertex in an arbitrary kinematic configuration. In the second point, we will (ii) analyze how the position of the so-called "crossing'', which appears in the three-gluon vertex, is affected by the presence of the quark fields. In what concerns the quark-gluon vertex, (iii) we intend to determine its transverse form factors for a general kinematic configuration and (iv) derive the non-perturbative correction to the quark chromomagnetic moment. We will also analyze, (v) how the quark and gluon propagators behave in general covariant gauges. In addition, we will study (vi) what is the impact of the quark-gluon longitudinal form factors in the quark dynamical mass generation. Finally, (vii) we will study the glueball formation using the Bethe-Salpeter equation. (AU)