Field Theory Notes by Pete L Clark
This note describes introduction to fields, Some examples of fields, Field extensions, Normal extensions, Separable algebraic extensions, Norms, Traces and discriminants, The primitive element theorem, Galois extensions, Solvable extensions, Computing galois groups, Structure of transcendental extensions, Linear disjointness, Derivations and differentials and ordered field.
Author(s): Pete L Clark
167 Pages 
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
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
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
David Tong Lectures on Quantum Field Theory
The content in this site are as follows : Preliminaries, Classical Field Theory, Canonical Quantization, Interacting Fields, The Dirac Equation, Quantizing the Dirac Field, Quantum Electrodynamics.
Author(s): David Tong, University of Cambridge
NA Pages
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
