Field Theory Notes by Pete L Clark

Lectures on effective field theory

This note covers effective quantum mechanics, EFT at tree level, EFT and radiative corrections, Chiral perturbation theory, Effective field theory with baryons and chiral lagrangians for BSM physics.

Author(s): David B Kaplan

80 Pages

Fields and Galois Theory

This note on fields and Galois theory explains the following topics: Basic Definitions and Results, Splitting Fields Multiple Roots, The Fundamental Theorem of Galois Theory, Computing Galois Groups, Applications of Galois Theory, Algebraic Closures, Infinite Galois Extensions, The Galois theory of tale algebras and Transcendental Extensions.

Author(s): J.S.Milne

144 Pages

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

NA Pages

Nonequilibrium Quantum Field Theory

This PDF book covers the following topics related to Non-equilibrium Quantum Field Theory : Fundamentals of Nonequilibrium Statistical Mechanics, Basics of Nonequilibrium Quantum Field Theory, Gauge Invariance, Dissipation, Entropy, Noise and Decoherence, Thermal, Kinetic and Hydrodynamic Regimes, Applications to Selected Current Research.

Author(s): Esteban A. Calzetta, University of Buenos Aires and Conicet, Bei-lok B. Hu, University of Maryland

554 Pages

Introduction to Gauge Field Theory

This book online covers the following topics related to Introduction to Gauge Field Theory : Path integrals, Path integrals in non-relativistic quantum mechanics, Classical field theory, Quantum field theory of a scalar field, Scattering amplitudes, Feynman rules for kcp* theory, Renormalisation of X(p4 theory, Quantum field theory with fermions, Gauge field theories, Feynman rules for quantum chromodynamics, Renormalisation of q c d and q e d at one-loop order, q c d and asymptotic freedom, Spontaneous symmetry breaking, Feynman rules for electroweak theory, Renormalisation of electroweak theory, Grand unified theory, Field theories at finite temperature.

Author(s): David Bailin, Alexander Love

NA Pages

QFT Lectures Notes by Jared Kaplan

The contents of this lecture notes are : 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 Effect, 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, A Lecture on Cosmological Perturbation Theory.

Author(s): Jared Kaplan, Department of Physics and Astronomy, Johns Hopkins University

260 Pages