Course Code

P453

Credit

8

Total Hours

42 Lectures + 14 Tutorials

Outcome of the Course

This first course on quantum field theory prepares the student for tackling future advanced courses in the area of high energy physics.

Approval

Syllabus

- Relativistic quantum mechanics - Klein-gordon equation, Dirac equation, free- particle solutions
- Lagrangian formulation of Klein-Gordon, Dirac and Maxwell equations, Symmetries (Noether’s theorem), Gauge field, actions
- Canonical quantization of scalar and Dirac fields
- Interacting fields - Heisenberg picture, perturbation theory, Wicks theorem, Feynman diagram
- Cross-section and S-matrix
- Quantization of gauge field, gauge fixing
- QED and QED processes
- Radiative corrections - self-energy, vacuum polarization, vertex correction
- LSZ and optical theorem 10. Introduction to re-normalization

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