Quantum Field Theory

Objective of the course

This course will be helpful for students who are interested in high-energy physics and/or condensed matter theory in future. Both the fields have many applications of this subject.
The pre-requisite for this course is quantum mechanics 1, quantum mechanics 2 and special theory of relativity. QFT 1 (canonical quantisation) is not essential. I have planned the course in that fashion. Whatever is required from QFT 1, I shall discuss in the class.

Outline of the course

0. Preliminary: Few basic concepts of Quantum field theory.
1. Introduction: Why should we study "Path integral quantization"? Review of path integral Q. mech, path int. formulation of interacting scalar field theory, correlation functions, Feynmann rules, functional derivatives, generating functions.
2. Path integral quantisation for Fermion fields, Dirac propagators, Generating functional.
3. Path integral quantisation of QED.
4. Non-abelian gauge theory and quantization: gauge invariance, Yang-Mills action, Feynmann rules, Fadeev-Popov ghost.

Lecture notes :

Based on Ashoke Sen's lectures. The lectures are also based on David Tong's lectures specially the first lecture.
  • Preliminary: Quantization of scalar field theory : Lecture 1, Lecture 2, Lecture 3
  • Path integral quantization of scalar field : Lecture 4, Lecture 5, Lecture 6, Lecture 7
  • Path integral quantization of Dirac field : Lecture 8, Lecture 9
  • Local gauge invariance and QED Lagrangian: Lecture 10
  • Canonical Quantization of QED: Lecture 11
  • Non-abelian gauge theory: Lecture 12
    • Rest coming soon