This note covers the
following topics:Quantum Mechanics, Principles of Relativistic Quantum Field
Theory, Free Field Theory, Interacting Field Theories – Gauge Theories, The
S-matrix and LSZ Reduction formulas, Functional Methods in Scalar Field Theory,
Perturbative Renormalization, Functional Integrals for Fermi Fields, Quantum
Electrodynamics, 2 QED: Radiative Corrections, Functional Integrals For Gauge
Fields, Anomalies in QED, Perturbative Non-Abelian Gauge Theories, One-Loop
renormalization of Yang-Mills theory, Non-perturbative Renormalization, Global
Internal Symmetries.
This note describes the following topics: Classical particles and waves, Physical background and wave-particle duality,
Wave mechanics, The Born interpretation, The harmonic oscillator, The
mathematical structure of quantum theory, Statistical aspects of quantum theory,
Angular momentum, The hydrogen atom.
This book is divided into two parts. The first part is the old-school
way of learning quantum field theory. The second part is dedicated to
Topological Field Theories. Topics covered includes: Spin Zero, Fields with
Spin, Non-Abelian Field Theories, Quantum Electrodynamics, Electroweak Theory,
Quantum Chromodynamics, Renormalization, Sigma Model, Topological Field
Theories.
This
note covers the following topics: Second Quantization and Relativistic Fields,
The Interaction Picture and the S-Matrix, The Trouble with Loops, Cross Sections
and Decay Rates, The Dirac Equation, The Photon Field, Quantum Electrodynamics.
This book describes the following
topics: Relativistic wave equations, Groups and their representations, The Dirac
equation, Vector fields and Maxwell equations, Classical lagrangian field
theory, Quantization of field, Discrete symmetries, Path integrals and quantum
mechanics, Feynman diagrams for scattering amplitudes, Scattering theory and The
standard model.
These
lecture notes are based on an introductory course on quantum field theory, aimed
at Part III (i.e. masters level) students. The full set of lecture notes can be
downloaded here, together with videos of the course when it was repeated at the
Perimeter Institute. Individual sections can be downloaded on the link below.
Classical Field Theory, Canonical Quantization, Interacting Fields, The Dirac
Equation, Quantizing the Dirac Field and Quantum Electrodynamics. This note is
Last updated on October 2012.The lecture notes can be downloaded in both PDF and
PS formats
This book covers the following
topics: Classical scalar field theory, Nonlinear (interacting) theory,
Dimensional analysis and scaling, Complex scalar field theory, Quantum
scalar field theory, Renormalization and Partition function.