Subject Code: PH7L015 Subject Name: Quantum Field Theory II L-T-P: 3-0-0 Credit: 3
Pre-requisite(s): Quantum Field Theory
Text Books and References:
  1. M. E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory
  2. L. Ryder, Quantum Field Theory
  3. S. Weinberg, The Quantum Theory of Fields (Vol 1 and Vol 2)
  4. C. Itzykson and J. Zuber, Quantum Field Theory
  5. A. Zee, Quantum Field Theory in a Nutshell
  6. V. P. Nair, Quantum Field theory: A Modern Perspective
  7. M. Srednicki, Quantum Field Theory
  8. P. Ramond, Field Theory: a Modern Primer
  9. M. D. Schwartz, Quantum Field Theory and the Standard Model
  10. L.-F. Li and T.-P. Cheng, Gauge Theory of Elementary Particle Physics
  11. M. Asorey, E. Ercolessi, and V. Moretti, From Classical Mechanics to Quantum Field Theory: A Tutorial
Syllabus:

Discrete and Continuous Symmetries in quantum field theory; Gauge theories: Lagrangian formulation of abelian gauge theory coupled to scalars/fermions; Yang-Mills field and the geometry of gauge fields; Massive vector fields;

Quantization and renormalization: Path integral and Wilsonian effective action; Quantization of the electromagnetic fields in different gauges; Renormalization, beta function; Divergences in phi^4 theory and counter-terms; renormalization of QED and Yang- Mills theory;

Spontaneous symmetry breaking: Superconductivity and Linear sigma model; Goldstone theorem; Anomalies: instantons; tunnelling; theta vacuum; Axial symmetry breaking and pseudoscalar mesons; Wilsonian renormalization group