151618650 ADVANCED QUANTUM FIELD THEORY I ( 3 Crd.Hrs )

Scalar field Theory: Concept of systems with infinite degrees of freedom, Classical fields, Equations of motion, Hamiltonian. Symmetries and invariance principles–Noether’s Theorem. Canonical quantization of scalar field—creation, annihilation operators, Commutation relations; Relativistic free fields – quantization of scalar and Dirac fields, creation and annihilation operators, commutation relations, Fock space representation; Interpretation of the quantized field, number operator, connection with harmonic oscillator. Quantized fields, Quantization of photon field, Lorentz gauge and Coulomb gauge, Gupta-Bleuler formalism, quantization of massive vector field; symmetry principles, The Brout'Englert' Higgs mechanism; local and conserved fields; general properties of interactions and peculiarities of electrodynamics and gravity.