Week 1: Review of the basics of Scalar Field Theory coverd in QFT part-1
Week 2: The S-Matrix, Scattering Amplitude, Scattering in interacting theory
Week 3: Scattering Cross-Section formula
Week 4: The Kallen-Lehmann Representation. The Z factor.
Week 5: Lehmann, Symanzik and Zimmermann (LSZ) reduction.
Week 6: Analytic properties of functions defined through integrals. Optical theorem
Week 7: Ultraviolet Divergences in Phi^4 theory and power counting, UV regularization:(a) Momentum cutoff, (b) Pauli Villars, and (c) Dimensional regularization.
Week 8: Renormalization of Phi^4 theory at one loop: Renormalization of 2-pt function
Week 9: Mandelstam invariants, Renormalization of 4-point function. Subtraction Schemes: MS and MS-bar schemes.
Week 10: Renormalization group equations, beta functions and anomalous dimension
Week 11: Solution to Callan-symanzik equations. Running coupling constant.
Week 12: Fixed points: Ultra Violet and Infrared Stable fixed points. Scale invariance at fixed points. Behavious of two point function near fixed points.