Course Coordinator: 
Shinobu Hikami
Quantum Field Theory

This course covers quantum electrodynamics and chromodynamics. Topics include canonical quantization, Feynman diagrams, spinors, gauge invariance, path integrals, identical particles and second quantization, ultraviolet and infrared divergences, renormalization and applications to the quantum theory of the weak and gravitational forces, spontaneous symmetry breaking and Goldstone bosons, chiral anomalies, effective field theory, non-Abelian gauge theories, the Higgs mechanism, and an introduction to the standard model, quantum chromodynamics and grand unification.

To introduce students to basic concepts and techniques in relativistic quantum field theory.
Detailed Syllabus: 
  1. An electron in a uniform electromagnetic field: Landau levels
  2. Canonical Quantization
  3. Antiparticles
  4. Particle decay
  5. Feynman rules and the S-matrix
  6. Weyl and Dirac spinors
  7. Gauge Theories
  8. Quantization of the electromagnetic field
  9. Symmetry breaking
  10. Path integrals
  11. Aharonov-Bohm effect
  12. Renormalization
  13. Quantum chromodynamics
  14. Nuclear forces and Gravity
  15. Field unification
Course Type: 
Homework: 60%, Final Exam, 40%
Text Book: 
A First Book in Quantum Field Theory, by Lahiri and Pal (2005) Alpha Science International
A Modern Introduction to Quantum Field Theory, by Michele Maggiore (2005) Oxford University Press.
Reference Book: 
Quantum Field Theory, by Michio Kaku (1993) Oxford University Press.
An Introduction to Quantum Field Theory, by Peskin and Schroder (1995) Westview Press.
Gauge Theories in Particle Physics, Vol. I and II, by Aitchison and Hey (2004) Institute of Physics