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 below.
1. Classical Field Theory: Postscript  PDF Table of Contents; Introduction; Lagrangian Field Theory; Lorentz Invariance;Noether's Theorem and Conserved Currents; Hamiltonian Field Theory.
2. Canonical Quantization: Postscript  PDF The Klein-Gordon Equation, The SimpleHarmonic Oscillator; Free Quantum Fields; Vacuum Energy; Particles;Relativistic Normalization; Complex Scalar Fields; The Heisenberg Picture;Causality and Propagators; Applications; Non-Relativistic Field Theory
3. Interacting Fields: Postscript  PDF Types of Interaction; The InteractionPicture; Dyson's Formula; Scattering; Wick's Theorem; Feynman Diagrams; FeynmanRules; Amplitudes; Decays and Cross Sections; Green's Functions; Connected Diagramsand Vacuum Bubbles;Reduction Formula
4. The Dirac Equation: Postscript  PDF The Lorentz Group; Clifford Algebras;The Spinor Representation; The Dirac Lagrangian; Chiral Spinors; The WeylEquation; Parity; Majorana Spinors; Symmetries and Currents; Plane Wave Solutions.
5. Quantizing the Dirac Field: Postscript  PDF A Glimpse at the Spin-Statistics Theorem; Fermionic Quantization; Fermi-DiracStatistics; Propagators; Particles and Anti-Particles; Dirac's HoleInterpretation; Feynman Rules
6. Quantum Electrodynamics: Postscript  PDF Gauge Invariance; Quantization; Inclusion of Matter -- QED; Lorentz InvariantPropagators; Feynman Rules; QED Processes.
Problem SheetsProblem Sheet 1: Postscript  PDF Classical Field Theory
Problem Sheet 2: Postscript  PDF Quantizing the Scalar Field
Problem Sheet 3: Postscript  PDF The Dirac Equation
Problem Sheet 4: Postscript  PDF Scattering Amplitudes
Quantum Field Theory on the WebQuantum Field Theory by Michael Luke.
Fields by Warren Siegel.
Quantum Condensed MatterField Theory by Ben Simons
Errata for the book by Peskin and Schroeder Philip Tanedo, who took this course long ago, has put together auseful literature review of quantum field theory textbooks.
General Principles Of Quantum Field Theory Djvu Filel
The late Sidney Coleman taught the quantum field theory course at Harvardfor many years, influencing a generation of physicists in the waythey view and teach QFT. Below you can find the pdf files of handwrittenlecture notes for Coleman's course (transcribed by Brian Hill). The notes come in two largefiles, each around 6.5 Mb.
Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. 2ff7e9595c
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