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

Class Field Theory

This note covers Local Class Field Theory Lubin Tate Theory, The Cohomology of Groups, Local Class Field Theory Cohomology, Brauer Groups, Global Class Field Theory Statements, L Series and the Density of Primes, Global Class Field Theory Proofs and Complements.

Author(s): J.S.Milne

296 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

Quantum Field Theory by ETH

This lecture note contains the following contents : Prerequisites, Contents, References, Classical Mechanics, Hamiltonian Formulation, Quantum Mechanics, Quantum Mechanics and Relativity, Conventions, Spring Lattice, Continuum Limit, Relativistic Covariance, Hamiltonian Field Theory, Quantisation, Fock Space, Complex Scalar Field, Correlators, Sources, Internal Symmetries, Spacetime Symmetries, Discrete Symmetries, Dirac Equation and Clifford Algebra, Discrete Symmetries, Spin Statistics, Grassmann Numbers, Quantisation, Complex and Real Fields, Massless Field and Chiral Symmetry, Classical Electrodynamics, Gauge Fixing, Particle States, Casimir Energy, Massive Vector Field, Interacting Lagrangians, Interacting Field Operators, Perturbation Theory, Some Examples, Feynman Rules, Feynman Rules for QED, Scattering Basics, Cross Sections and Matrix Elements, Electron Scattering, Pair Production, Loop Contributions, Asymptotic States, Unitarity, Self Energy, Loop Integral, Regularisation and Renormalisation, Counterterms, Vertex Renormalisation.

Author(s): ETH Zurich

175 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