The contents in this pdf note include:Useful
References and Texts, Philosophy, Review of Lagrangians and Harmonic
Oscillators, Balls and Springs, Free Scalar Quantum Field Theory with Special
Relativity, Interactions in Classical Field Theory with a View Towards QFT,
Overview of Scattering and Perturbation Theory, Old Fashioned Perturbation
Theory, Feynman Rules as a Generalization of Classical Physics, The Hamiltonian
Formalism for Perturbation Theory, Feynman Rules from the Hamiltonian Formalism,
Particles with Spin, Covariant Derivatives and Scalar QED, Scattering and Ward
Identities in Scalar QED, Spinors and QED, Quantization and Feynman Rules for
QED, Casimir E ect, The Exact -pt Correlator { Kallen-Lehmann Representation,
Large Logarithms and Renormalization Flows, QM Example of Wilsonian
Renormalization, Wilsonian Renormalization Flows, Path Integrals, Path Integrals
and Statistical Physics, Discrete Symmetries and Spinors, More on Spin and
Statistics, QED Vacuum Polarization and Anomalous Magnetic Moment,
Renormalization and QED, IR Divergences and Long Wavelength Physics,
Implications of Unitarity, Interlude on Lie Groups and Lie Algebras, Overview of
Lie Algebra Classi cation and Representations, Spontaneously Broken Global
Symmetries and Goldstone Bosons, Renormalization in YM and Asymptotic Freedom,
Higgs Mechanism, Parton Model and Deep Inelastic Scattering, Anomalies as Almost
Local E ects, Cosmological Perturbation Theory.
Author(s): Jared Kaplan, Department of Physics and
Astronomy, Johns Hopkins University
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.
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 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.
This book provides a very clear and well written introduction to
Quantum Field Theory. Topics covered includes: Classical Field Theory, Free
Fields, Interacting Fields, The Dirac Equation, Quantizing the Dirac Field
and Quantum Electrodynamics.