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 
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
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
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
