An Introduction to Quantum Field Theory by University of Manchester

A Hands On Guide to Quantum Field Theory

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

469 Pages

QFT Lectures Notes by Jared Kaplan

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

260 Pages

Lecture Notes on Quantum Field Theory by Kevin Zhou

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

270 Pages

Introduction to Quantum Field Theory by Marina von Steinkirch

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

121 Pages