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This note explains Classical field theory, Quantum field theory, Interacting scalar fields and perturbation theory.
Author(s): University of Manchester
48Pages
This note covers preliminaries, Creation and annihilation operators, Perturbation theory and scattering, Simple interactions, Emergence of classical fields, Locality, Semiclassical methods, Symmetries, Electromagnetic fields, Collective effects, Special relativity in quantum mechanics, Relativistic spinless particle, Canonical methods, Scalar electrodynamics, Relativistic spin half particles, Quantum electrodynamics, Radiative corrections and renormalization, Beyond low order perturbation theory, Bound states, Path integrals and Path integrals for fields.
Author(s): C P Burgess
469Pages
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
260Pages
The contents of this notes include: Scalar Fields, Interacting Scalar Fields, Spinor Fields, Vector Fields, Quantum Electrodynamics, Amplitudes, Path Integrals in Zero Dimensions, Path Integrals in Higher Dimensions, Wilsonian Renormalization, Perturbative Renormalization, Solitons, Monopoles , Anomalies, Instantons.
Author(s): Kevin Zhou
270Pages
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.
Author(s): James Sparks
82Pages
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.
Author(s): Marina von Steinkirch
121Pages
This note covers the following topics: Free Fields, Relativistic Quantum Mechanics, Canonical Quantization of Free Field, Canonical Quantization of Interacting Fields.
Author(s): Badis Ydri
155Pages
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.
Author(s): A. W. Stetz
145Pages
