Description |
1 online resource : text file, PDF |
Series |
Frontiers in physics |
Contents |
880-01 Cover; Half Title; Title; Copyright; Contents; Preface; Notations and Conventions; Editor's Foreword; Part I: Feynman Diagrams and Quantum Electrodynamics; 1 Invitation: Pair Production in e + e -- Annihilation; 2 The Klein-Gordon Field; 2.1 The Necessity of the Field Viewpoint; 2.2 Elements of Classical Field Theory; Lagrangian Field Theory; Hamiltonian Field Theory; Noether's Theorem; 2.3 The Klein-Gordon Field as Harmonic Oscillators; 2.4 The Klein-Gordon Field in Space-Time; Causality; The Klein-Gordon Propagator; Particle Creation by a Classical Source; Problems; 3 The Dirac Field |
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880-01/(S 4.6 Computing S-Matrix Elements from Feynman Diagrams4.7 Feynman Rules for Fermions; Yukawa Theory; 4.8 Feynman Rules for Quantum Electrodynamics; The Coulomb Potential; Problems; 5 Elementary Processes of Quantum Electrodynamics; 5.1 e + e -- → μ + μ -- : Introduction; Trace Technology; Unpolarized Cross Section; e+ e- → Hadrons; 5.2 e+ e- → μ + μ -- : Helicity Structure; 5.3 e+ e- → μ + μ -- : Nonrelativistic Limit; Bound States; Vector Meson Production and Decay; 5.4 Crossing Symmetry; Electron-Muon Scattering; Mandelstam Variables; 5.5 Compton Scattering; Photon Polarization Sums |
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3.1 Lorentz Invariance in Wave Equations3.2 The Dirac Equation; Weyl Spinors; 3.3 Free-Particle Solutions of the Dirac Equation; Spin Sums; 3.4 Dirac Matrices and Dirac Field Bilinears; 3.5 Quantization of the Dirac Field; Spin and Statistics; The Dirac Propagator; 3.6 Discrete Symmetries of the Dirac Theory; Parity; Time Reversal; Charge Conjugation; Problems; 4 Interacting Fields and Feynman Diagrams; 4.1 Perturbation Theory-Philosophy and Examples; 4.2 Perturbation Expansion of Correlation Functions; 4.3 Wick's Theorem; 4.4 Feynman Diagrams; 4.5 Cross Sections and the S-Matrix |
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The Klein-Nishina FormulaHigh-Energy Behavior; Pair Annihilation into Photons; Problems; 6 Radiative Corrections: Introduction; 6.1 Soft Bremsstrahlung; Classical Computation; Quantum Computation; 6.2 The Electron Vertex Function: Formal Structure; 6.3 The Electron Vertex Function: Evaluation; Feynman Parameters; Precision Tests of QED; 6.4 The Electron Vertex Function: Infrared Divergence; 6.5 Summation and Interpretation of Infrared Divergences; Problems; 7 Radiative Corrections: Some Formal Developments; 7.1 Field-Strength Renormalization; The Electron Self-Energy |
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7.2 The LSZ Reduction Formula7.3 The Optical Theorem; The Optical Theorem for Feynman Diagrams; Unstable Particles; 7.4 The Ward-Takahashi Identity; 7.5 Renormalization of the Electric Charge; Dimensional Regularization; Problems; Final Project: Radiation of Gluon Jets; Part II: Renormalization; 8 Invitation: Ultraviolet Cutoffs and Critical Fluctuations; 9 Functional Methods; 9.1 Path Integrals in Quantum Mechanics; 9.2 Functional Quantization of Scalar Fields; Correlation Functions; Feynman Rules; Functional Derivatives and the Generating Functional |
Summary |
"An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories."--Provided by publisher |
Subject |
Physics.
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Physics
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physics.
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Physics
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Form |
Electronic book
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ISBN |
9780429503559 |
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0429503555 |
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9780429972102 |
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0429972105 |
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9780429962721 |
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042996272X |
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9780429973802 |
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0429973802 |
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