8.323 Relativistic Quantum Field Theory I (Spring 2023, MIT OCW): Lecture 19

8.323 Relativistic Quantum Field Theory I

8.323 Relativistic Quantum Field Theory I (Spring 2023, MIT OCW). Instructor: Prof. Hong Liu. This course is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics and condensed matter physics. (from ocw.mit.edu)

Lecture 19 - Path Integrals of Fermions

Definition and properties of Grassman variables/numbers: differentiation, integration, Gaussian integrals, path integrals of Dirac fields, perturbation theory involving fermions, Feynman rules in the presence of fermions, Yukawa theory.

Go to the Course Home or watch other lectures:

Lecture 01 - Classical Field Theories and Principle of Locality

Lecture 02 - Symmetries and Conservation Laws

Lecture 03 - Why Quantum Field Theory

Lecture 04 - Canonical Quantization of a Free Scalar Field Theory

Lecture 05 - Complex Scalar Field Theory and Anti-Particle

Lecture 06 - Propagators and Green Functions

Lecture 07 - Interacting Theories and S-Matrix

Lecture 08 - Path Integral Formalism for Non-Relativistic Quantum Mechanics

Lecture 09 - Path Integral Formalism for QFT; Computation of Time-Ordered Correlation Functions

Lecture 10 - Time-Ordered Correlation Functions in Field Theory

Lecture 11 - Computation of Correlation Functions in Perturbation Theory and Feynman Diagrams