8.323 Relativistic Quantum Field Theory I (Spring 2023, MIT OCW): Lecture 04 - Canonical Quantization of a Free Scalar Field Theory

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 04 - Canonical Quantization of a Free Scalar Field Theory

Canonical quantization of a free scalar field theory, canonical commutation relations, mode expansion, a free field theory can be viewed as an infinite number of harmonic oscillators, expressing the Hamiltonian and other conserved charges in terms of oscillators, vacuum energy, structure of Hilbert space.

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