Faculty of Science

Objectives

To teach concepts in string theory and the quantum theory of fields.

Contents

Single particle relativistic wave equation, Relativistic mechanics, Klein-Gordon equation, Dirac Equation, Prediction of antiparticle, Construction of Dirac spinors, Non-relativistic limit and the electron magnetic moment, Maxwell and Proca equations, Lagrangian formulation, symmetries and gauge fields, Lagrangian formulation of particle mechanics, The real scalar field: variational principle and Noether’s theorem, Complex scalar and Electromagnetic fields, Canonical quantization and particle interpretation, The real Klein-Gordon equation, The complex scalar Klein-Gordon equation, The Dirac field, The electromagnetic field, Interacting field and Feynman diagrams, Perturbation theory - philosophy and examples, Perturbative expansion of correlation functions, Wicks theorem, Feynman diagrams, Cross sections and S-matrix, Computing S-matrix elements from Feynman diagrams, Feynman rules for fermions, Feynman rules for quantum electrodynamics, Elementary processes of quantum electrodynamics, e+e- ! µ+µ-: Introduction, e+e- ! µ+µ-: Helicity structure, e+e- ! µ+µ-: Non-relativistic limit, Crossing symmetry, Compton scattering, and Radiative corrections.