Quantum Field Theory: Fermions and Grassmann Numbers

This lecture delves into the intricate world of quantum field theory, focusing on fermions and Grassmann numbers. The instructor explains the concept of Grassmann numbers, their properties, and their role in representing fermionic variables. The lecture covers the path integral formalism for fermions, emphasizing the importance of order in differentiation and integration. The discussion extends to the quantization of theories involving fermions, highlighting the unique properties and challenges associated with fermionic fields. The instructor demonstrates how to incorporate fermions into the path integral framework, illustrating the calculation of correlation functions and Feynman diagrams for fermionic interactions.