The article discusses the application of Dyson-Schwinger equations (DSEs) to nonperturbative studies of gauge field theories, particularly in the context of hadronic physics. It begins with an introduction to the DSE formalism, which provides a systematic way to derive coupled integral equations that relate the Green's functions of a field theory. These equations are essential for understanding the behavior of quantum fields in nonperturbative regimes. The article reviews the current status of DSE-based studies of Abelian gauge theories, such as quantum electrodynamics (QED), and extends this to non-Abelian gauge theories like quantum chromodynamics (QCD). It discusses key phenomena in these theories, including confinement of quarks and gluons, dynamical chiral symmetry breaking, and the role of these techniques in understanding strong interactions. The paper also covers the application of DSEs to the study of hadronic structure, including the coupling of DSEs with Bethe-Salpeter equations and the use of effective actions in QCD. The article emphasizes the importance of renormalisation in the DSE approach and highlights the challenges and computational efforts involved in solving the infinite tower of coupled equations. It also addresses the need for approximation schemes and the role of lattice gauge theory in complementing DSE studies. The paper concludes with a summary of the current state of DSE-based research in hadronic physics and outlines future directions for this field.The article discusses the application of Dyson-Schwinger equations (DSEs) to nonperturbative studies of gauge field theories, particularly in the context of hadronic physics. It begins with an introduction to the DSE formalism, which provides a systematic way to derive coupled integral equations that relate the Green's functions of a field theory. These equations are essential for understanding the behavior of quantum fields in nonperturbative regimes. The article reviews the current status of DSE-based studies of Abelian gauge theories, such as quantum electrodynamics (QED), and extends this to non-Abelian gauge theories like quantum chromodynamics (QCD). It discusses key phenomena in these theories, including confinement of quarks and gluons, dynamical chiral symmetry breaking, and the role of these techniques in understanding strong interactions. The paper also covers the application of DSEs to the study of hadronic structure, including the coupling of DSEs with Bethe-Salpeter equations and the use of effective actions in QCD. The article emphasizes the importance of renormalisation in the DSE approach and highlights the challenges and computational efforts involved in solving the infinite tower of coupled equations. It also addresses the need for approximation schemes and the role of lattice gauge theory in complementing DSE studies. The paper concludes with a summary of the current state of DSE-based research in hadronic physics and outlines future directions for this field.