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 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 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:
Constructing Quantum Field Theory, symmetries and Conservation Laws,
non-Relativistic Quantum Mechanics, Interacting Fields, Perturbation Theory for
nonrelativistic quantum mechanics, Decay Widths, Cross Sections and Phase Space,
Quantizing the Dirac Lagrangian, vector Fields and Quantum Electrodynamics.
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
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.