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Indian Institute of Science Education and Research Bhopal
PHY 621: Quantum Field Theory II (4)
Prerequisite: PHY 415/615: Quantum Field Theory-I
Introduction: Why should we study “Path integral quantization”?
Review of path integral formulation of quantum mechanics
Path integral formulation of interacting scalar field theory: Correlation functions, Feynman Rules, Functional derivatives, Generating functional.
Path integral for Fermion fields: Anti commutating numbers, the Dirac propogator, Generating functional.
Path inegral for QED.
Non-abelian gauge theories and quantization: Gauge invariance, Yang-Mills action, Feynman rules, Faddeev-Popov ghost fields, BRST.
UV divergences and renormalization: explicit one loop renormalization for interacting gauge theory.
RG: calculation of beta function.
Spontaneous symmetry breaking: Goldstone boson, Higgs mechanism.
Standard model (GSW model, the Lagrangian, different gauge groups, representations and transformation of different fields, Higgs mechanism).
Suggested Books:
- An introduction to QFT by Peskin and Schroeder
- Quantum Field Theory by Ryeder
- A First Book of QFT by Lahiri and Pal
- QFT: A modern Introduction by M. Kaku
- Relativistic QFT by Bjorken and Drell
- Gauge theory and elementary particle physics by Cheng & Lee
- Quarks and Leptons: An Introductory Course in Modern Particle Physics by Halzen and Martin
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