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: Free Fields, Relativistic Quantum Mechanics, Canonical Quantization of
Free Field, Canonical Quantization of Interacting Fields.
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.
This book covers the following
topics: Path integrals and quantum mechanics, the classical limit, Continuous
systems, Field theory, Correlation function, Euclidean Theory, Tunneling and
instalatons, Perturbation theory, Feynman diagrams, Fermionic harmonic
oscillator states, Path integrals for fermions and Feynman diagrams for
fermions.
This note covers the following topics: Non-abelian gauge theories,
Field and Mass renormalizations, removing ultraviolet divergences , unstable
particles and resonances , S-matrix elements and LSZ reduction, Renormalized
Lagrangian, Vertex function , anomalous magnetic moment , vacuum polarization,
general renormalization theory, renormalization group.
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