Course curriculum

  • 1

    Course Outline

    • Introduction
  • 2

    Module 1: Path Integral for a Non-Relativistic Particle, Euclidean Time, Operators and Correlation Functions in the Path Integral Formalism, Thermal Expectation Values, Free Scalar Field

    • Lecture 1.1 - Video

    • Lecture 1.1 - Audio

    • Lecture 1.1 - PDF

    • Lecture 1.2 - Video

    • Lecture 1.2 - Audio

    • Lecture 1.2 - PDF

    • Module 1 Tutorial

    • Module 1 Solutions

    • Module 1 Discussion
  • 3

    Module 2: Propagator of the Free Scalar Field, Correlation Functions

    • Lecture 2.1 - Video

    • Lecture 2.1 - Audio

    • Lecture 2.1 - PDF

    • Module 2 Discussion
  • 4

    Module 3: Wick's Theorem, Quantization of φ4 Theory, Feynman Diagrams, Cancelation of Vacuum Diagrams, Structure of Perturbation Theory, Generating Functionals

    • Lecture 3.1 - Video

    • Lecture 3.1 - Audio

    • Lecture 3.1 - PDF

    • Module 3 Tutorial 1

    • Module 3 Solutions 1

    • Lecture 3.2 - Video

    • Lecture 3.2 - Audio

    • Lecture 3.2 - PDF

    • Module 3 Tutorial 2

    • Module 3 Solutions 2

    • Module 3 Homework

    • Module 3 Discussion
  • 5

    Module 4: Effective Action at One Loop, Mass Renormalization in φ4 Theory, Renormalization of Massless and Massive φ4 Theory at One Loop, Beta Function, Wilsonian renormalization

    • Lecture 4.1 - Video

    • Lecture 4.1 - Audio

    • Lecture 4.1 - PDF

    • Module 4 Tutorial 1

    • Module 4 Solutions 1

    • Lecture 4.2 - Video

    • Lecture 4.2 - Audio

    • Lecture 4.2 - PDF

    • Module 4 Tutorial 2

    • Module 4 Solutions 2

    • Lecture 4.3 - Video

    • Lecture 4.3 - Audio

    • Lecture 4.3 - PDF

    • Module 4 Discussion
  • 6

    Module 5: Wilsonian Renormalization, Renormalization Group Flow, Grassman Variables and Berezin Calculus

    • Lecture 5.1 - Video

    • Lecture 5.1 - Audio

    • Lecture 5.1 - PDF

    • Module 5 Tutorial

    • Module 5 Solutions

    • Lecture 5.2 - Video

    • Lecture 5.2 - Audio

    • Lecture 5.2 - PDF

    • Module 5 Homework

    • Module 5 Discussion
  • 7

    Module 6: Fermionic Path Integrals

    • Lecture 6.1 - Video

    • Lecture 6.1 - Audio

    • Lecture 6.1 - PDF

    • Module 6 Tutorial

    • Module 6 Solutions

    • Module 6 Discussion
  • 8

    Module 7: Non-Abelian Gauge Theory, Coupling Non-Abelian Gauge Fields to Matter

    • Lecture 7.1 - Video

    • Lecture 7.1 - Audio

    • Lecture 7.1 - PDF

    • Module 7 Tutorial

    • Module 7 Solutions

    • Module 7 Discussion
  • 9

    Module 8: Currents, Quantization of Non-Abelian Gauge Theory, Gauge fixing, Ghosts, Yang-Mills Perturbative Expansion, Renormalization of Yang-Mills Theory

    • Lecture 8.1 - Video

    • Lecture 8.1 - Audio

    • Lecture 8.1 - PDF

    • Lecture 8.2 - Video

    • Lecture 8.2 - Audio

    • Lecture 8.2 - PDF

    • Module 8 Tutorial

    • Module 8 Solutions

    • Lecture 8.3 - Video

    • Lecture 8.3 - Audio

    • Lecture 8.3 - PDF

    • Module 8 Homework

    • Module 8 Discussion