%0 Thesis %A Pinto Gómez, Fernando %T Nonperturbative study of the three- and four-gluon vertices from lattice QCD %D 2025 %U https://hdl.handle.net/10433/25948 %X In this work, we have focused our attention on the study of the gluon vertices of QCD. These vertices represent a key distinction between QCD and other theories, such as QED, where self-interactions among gauge bosons do not occur. This crucial difference gives rise to a wide range of unique phenomena, whose study requires an accurate understanding of the fundamental QCD vertices.In this thesis (and the related works published during its completion), we present an in-depth study of the three- and four-gluon vertices of QCD, evaluated on the lattice through extensive quenched simulations in Landau gauge. For the first time, we extend the lattice study of the three-gluon vertex beyond symmetric and soft-gluon kinematics. Similarly, we perform the first lattice analysis of the four-gluon vertex beyond restricted kinematics and provide the first lattice determination of the running coupling extracted from the four-gluon vertex. Finally, we explore some phenomenological applications of the three- and four-gluon vertices. %K Gluon vertices in Quantum Chromodynamics (QCD) %K Física de partículas %~