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