David Tong Lectures on Quantum Field Theory

A Course in Field Theory by Pierre van Baal

This page online covers the following topics related to Field Theory : Quantisation of Fields, Euler–Lagrange Equations, Tree-Level Diagrams, Hamiltonian Perturbation Theory, Path Integrals in Quantum Mechanics, Path Integrals in Field Theory, Perturbative Expansion in Field Theory, he Scattering Matrix, Cross Sections, Decay Rates, The Dirac Equation, Plane Wave Solutions of the Dirac Equation, The Dirac Hamiltonian, Path Integrals for Fermions, Feynman Rules for Vector Fields, Quantum Electrodynamics—QED, Non-Abelian Gauge Theories, The Higgs Mechanism, Gauge Fixing and Ghosts, The Standard Model, Loop Corrections and Renormalisation.

Author(s): Pierre van Baal

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David Tong Lectures on Statistical Field Theory

The content in this site are as follows : From Spins to Fields, The Ising Model, Landau Mean Field Theory, Universality, Critical Exponents, Landau-Ginzburg Theory, Domain Walls, The Lower Critical Dimension, My First Path Integral, The Thermodynamic Free Energy (again); Correlation Functions, Correlation Length; The Upper Critical Dimension, The Analogy with Quantum Field Theory, The Renormalisation Group, The Big Idea, Universality Explained, Scaling Explained; Relevant, Irrelevant and Marginal; The Gaussian Fixed Point, Dangerously Irrelevant Operators, Interactions, Feynman Diagrams; the Epsilon Expansion, the Wilson-Fisher Fixed Point, A Sniff of Conformal Symmetry, Continuous Symmetry, The Importance of Symmetry, O(N) Models, Goldstone Bosons and Goldstone's Theorem, The Mermin-Wagner Theorem; Sigma Models, Background Fields, Large N, the Kosterlitz-Thouless Transition, Vortices, the Coulomb Gas, the Sine-Gordon Model, RG for KT and SG.

Author(s): David Tong, University of Cambridge

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