PHY615: Quantum Field Theory and Feynman Path Integrals 6 credits (40-20-0)

Objectives

To acquire an understanding of Quantum field theory as applied in statistical physics, solid-state physics, subatomic physics, particle physics and domains of physics where field-theoretical methods are of great importance.

Contents

Action principle, canonical transformations, Poisson brackets, classical field theory, Lagrange formalism, symmetries and conservation laws, Green functions, Klein-Gordon equation, free propagator, path integral formalism, quantization of fields, Feynman diagrams, massless and massive vectors and spinor field perturbation theory, regularization schemes, Renormalizability, Renormalization group equations, Gauge theories with applications in quantum electrodynamics, introduction to non Abelian gauge theories, electro-weak interactions.