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
NAPages
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
554Pages
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
NAPages
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
NAPages
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
NAPages
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
175Pages
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
260Pages
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