Course Code

P470

Credit

8

Prerequisite

P453 (Quantum Field Theory I)

Total Hours

42 Lectures + 14 Tutorials

Outcome of the Course

This course teaches the students important concepts and methods in advanced quantum field theory, with the aim to build their background for future research work in this area.

Approval

Syllabus

- Path-integral formulation of quantum mechanics
- Path-integral for scalar fields, generating functional, connected Greens functions, Feynman rules, 1 loop diagrams
- Grassmann variable, path-integral for Dirac field
- Path-integral for Electromagnetic field, gauge fixing
- QED, symmetries and Ward identity
- Renormalization divergences and power counting, Φ4 theory, QED, spontaneous symmetry breaking, Renormalization group basics (running of coupling).
- Yang-Mills theory, gauge fixing and ghosts, BRST, asymptotic freedom

Reference Books

- An Introduction to Quantum Field Theory by M. Peskin and D. V. Schroeder
- Quantum Field theory:From Operators to Path Integrals, 2nd edition by Kerson Huang
- Quantum Field Theory by Mark Srednicki
- Quantum Field Theory by Claude Itzykson and Jean Bernard Zuber
- Notes from Sidney Coleman's Physics 253a, arXiv: 1110.5013