Canonical quantization of the neutral scalar field : Conjugate momentum, commutation relations, normal ordering, Bose symmetry, Fock space. Complex scalar field. Charge conservation. Particles and antiparticles, charge conjugation. Feynman propagator for scalar fields. Bose-Einstein distribution, propagators at finite temperature. The Dirac equation. Antic-ommutators, quantization of the spinor field. Electrons and positrons.
FermiDirac statistics spin statistics connection. Quantization of the
electromagnetic field in the Coulomb gauge. Feynman propagator, gauge invariance. Elements of quantum electrodynamics. Wick's theorem. Feynman rules and Feynman diagrams for spinor electrodynamics. Lowest order cross-sections for electron electron,
electron positron and electron photon scattering. Elementary treatment of selfenergy and radiative corrections, divergence and renormalization.
- Teacher: Prasanta Kumar Tripathy