Canonical Quantization : General Formulation. Conjugate Momentum and Quantization. Neutral Scalar Field. Commutation Relations, Normal Ordering, Bose Symmetry, Fock Space.
Charged Scalar Field. U(1) Invariance, Charge Conservation, Particles and Antiparticles. Time Ordered Product, Feynman Propagator for Scalar Fields, Bose-Einstein Distribution, Propagators at Finite Temperature.

Dirac Field : The Dirac Equation, Relativistic Covariance. Anti-Commutators. Quantization of the Dirac Field, Electrons and Positrons.
Connection between Spin and Statistics. Discrete Symmetries, Parity, Charge Conjugation, Time Reversal, CPT Theorem.

Gauge Field : Gauge Invariance and Gauge Fixing. Quantization of the Electromagnetic Field, Propagator, Vacuum Fluctuations.
Interacting Theory and Elementary Processes : Wick’s Theorem. Feynman Rules and Feynman Diagrams for Spinor Electrodynamics, Lowest Order Cross-Section for Electron-Electron, Electron-Positron and Electron-Photon Scattering.
Elementary Ideas on Radiative Corrections and Renormalization.

Other Resources

Course Curriculum

Mod-01 Lec-01 Introduction Details 37:28
Mod-01 Lec-02 Introduction to Classical Field Theory Details 37:41
Mod-01 Lec-03 Quantization of Real Scalar Field – I Details 47:1
Mod-01 Lec-04 Quantization of Real Scalar Field – II Details 42:30
Mod-01 Lec-05 Quantization of Real Scalar Field – III Details 44:50
Mod-01 Lec-06 Quantization of Real Scalar Field – IV Details 48:44
Mod-01 Lec-07 Quantization of Complex Scalar Field Details 49:15
Mod-02 Lec-08 Interacting Field Theory – I Details 46:52
Mod-02 Lec-09 Interacting Field Theory – II Details 46:34
Mod-02 Lec-10 Interacting Field Theory – III Details 53:57
Mod-02 Lec-11 Interacting Field Theory – IV Details 45:15
Mod-02 Lec-12 Interacting Field Theory – V Details 44:59
Mod-02 Lec-13 Interacting Field Theory – VI Details 49:12
Mod-02 Lec-14 Interacting Field Theory – VII Details 57:28
Mod-03 Lec-15 Quantuzation of Electromagnetic Field I Details 32:3
Mod-03 Lec-16 Quantuzation of Electromagnetic Field II Details 54:55
Mod-03 Lec-17 Fermion Quantization I Details 40:36
Mod-03 Lec-18 Fermion Quantization II Details 51:27
Mod-03 Lec-19 Fermion Quantization III Details 53:42
Mod-03 Lec-20 Fermion Quantization IV Details 47:23
Mod-03 Lec-21 Fermion Quantization V Details 47:51
Mod-03 Lec-22 Fermion Quantization VI Details 48:55
Mod-04 Lec-23 The S-Matrix Expansion in QED I Details 50:41
Mod-04 Lec-24 The S-Matrix Expansion in QED II Details 49:23
Mod-04 Lec-25 Feynman Rules in QED I Details 0:51
Mod-04 Lec-26 Feynman Rules in QED II Details 45:25
Mod-04 Lec-27 Compton Scattering I Details 50:20
Mod-04 Lec-28 Compton Scattering II Details 48:8
Mod-04 Lec-29 Compton Scattering III Details 52:13
Mod-04 Lec-30 Moller Scattering I Details 44:5
Mod-04 Lec-31 Moller Scattering II Details 49:24
Mod-05 Lec-32 Vertex Correction I Details 47:1
Mod-05 Lec-33 Vertex Correction II Details 50:29
Mod-05 Lec-34 Vertex Correction III Details 44:33
Mod-05 Lec-35 Vertex Correction IV Details 39:21
Mod-05 Lec-36 Electron Selfenergy Details 49:44
Mod-05 Lec-37 Photon Selfenergy I Details 50:17
Mod-05 Lec-38 Photon Selfenergy II Details 48:50

This course is part of NPTEL online courses, delivered by IIT Madras.

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