 General introduction: Point particles to Fields, Long wave length approximation of harmonic lattice and phonons.
 Scalar Field Theory: Extension of quantum mechanics to relativistic particles, KleinGordon equation, Conservation laws, negative energy states, quantization of the scalar field and the Fock space, the Feynman propagator.
 Canonical Formalism: Lagrangian density, Symmetries, Noethers's theorem, Lorentz invariance, Gauge invariance.
 Dirac Field: Dirac Equation and Dirac algebra, Lorentz Transformations, Hole and Dirac sea, Time reversal and charge conjugation, Massless particles, Nonrelativistic limit and spinorbit coupling, quantization of the Dirac field and the Pauli exclusion principle,the propagator.
 SMatrix Theory: Interaction picture and adiabatic switching, Smatrix and scattering, Two point correlation function scalar and Dirac field this may be introduced in the context of free field theory as suggested above), timeordered and normal products, the Dyson expansion and Wick's Theorem, Feynman rules for self interacting scalar theory.
 Electromagnetic field: Canonical formalism, quantization and gauge fixing, the propagator, the local gauge invariance and the covariant derivative, coupling to scalar and Dirac fields. Quantum electrodynamics, Feynman rules and simple applications.
 Applications: Klein paradox, vacuum fluctuation and Casimir effect, Lamb shift, anomalous magnetic moment, broken symmetry
