**PHY ****421: ****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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