Simetrias em teorias de campos

Abstract

This work investigates the role of symmetries in field theories, addressing their manifestations in both classical and quantum physics. It begins with an analysis of Noether’s theorem, which relates symmetries to conserved quantities, and the mathematical description of these symmetries through group theory. From there, the application of functional integrals is explored to generalize Noether’s theorem to the quantum context, as well as the introduction of generalized symmetries in field theories. Finally, the study delves into quantum anomalies, focusing on chiral anomalies and the techniques developed to address with symmetry-breaking phenomena, such as the Fujikawa method.