his notes
contains the details about Quantization of the Free Scalar Field, Euler-Maclaurin
Summation Formula, Distributions and the Fourier Transform, Dirac Delta Function
as a Distribution, Quantum Mechanics and Path Integrals, Green's Functions and
Generating Functions, Quantization of the Free Scalar Field , particle
Production by a Classical Source, The Dirac Field, Discrete Symmetries of the
Dirac Field , Interacting Field Theories .
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.