Lecture

Quantum Field Theory: Fermions and Grassmann Numbers

Description

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.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related lectures (267)
Linear Algebra: Matrix Operations
Covers matrix operations and properties, including eigenvalues and eigenvectors.
Quantum Entanglement
Explores quantum entanglement, Bell inequalities, and self-testing in quantum systems.
Introduction to Quantum Field Theory
Introduces Quantum Field Theory, explaining the Klein-Gordon equation and vector representations.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Goldstone Bosons: Higgs Mechanism
Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.
Show more