Relativistic quantum field theory.

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"Version: 20191101"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Classical field theory -- 1.1. Lagrangian formalism for fields -- 1.2. The Klein-Gordon field -- 1.3. The electromagnetic field -- 1.4. Lorentz invariance -- 1.5. Transformation of fields under Lorentz transformations -- 1.6. Noether's theorem -- 1.7. Applications of Noether's theorem -- 1.8. The Hamiltonian formalism for fields2. Quantization of free fields -- 2.1. The quantum linear chain and phonons -- 2.2. Poisson brackets in classical field theory -- 2.3. Quantization of a free scalar field theory -- 2.4. Multi-particle states and Fock space -- 2.5. Complex scalar fields -- 2.6. Quantization of a complex scalar field -- 2.7. Causality -- 2.8. Propagators -- 2.9. Propagators as Green's functions3. Quantization of interacting field theories -- 3.1. Weakly-interacting scalar fields -- 3.2. Two examples of interacting quantum field theories -- 3.3. The interaction picture and Dyson's equation -- 3.4. Interactions in scalar Yukawa theory -- 3.5. The S-matrix -- 3.6. Beyond leading-order perturbation theory -- 3.7. Decay rates and cross sections -- 3.8. Examples using scalar Yukawa theory4. Quantum electrodynamics -- 4.1. Classical Dirac fields -- 4.2. Quantization of the Dirac field -- 4.3. The Feynman propagator for Dirac fields -- 4.4. The electromagnetic field -- 4.5. Quantization of the electromagnetic field -- 4.6. Coupling the electron to the photon -- 4.7. QED Feynman rules -- 4.8. QED Feynman rules--Examples -- 4.9. The leading-order electron-positron scattering cross section5. Renormalization of quantum electrodynamics -- 5.1. Renormalization group flow -- 5.2. Beta functions -- 5.3. Renormalizable field theories -- 5.4. Dimensional regularization in QED -- 5.5. One-loop renormalization of QED -- 5.6. Schwinger-Dyson equations -- 5.7. Photon wavefunction renormalization -- 5.8. Electron wavefunction and mass renormalization -- 5.9. Vertex renormalization -- 5.10. The renormalized QED Lagrangian -- 5.11. The one-loop QED running couplingAppendices. A. Classical mechanics review -- B. Functionals and functional derivatives -- C. Tensor algebra -- D. Mandelstam variables.Volume 1 of this three-part series introduces the fundamental concepts of quantum field theory using the formalism of canonical quantization. This volume is intended for use as a text for an introductory quantum field theory course that can include both particle and condensed matter physics students. Dr. Strickland starts with a brief review of classical field theory and uses this as a jumping off point for the quantization of classical field, thereby promoting them to proper quantum fields. He then presents the formalism for real and complex scalar field theories, fermion field quantization, gauge field quantization, toy models of the nuclear interaction, and finally the full Lagrangian for QED and its renormalization. Part of IOP Series in Nuclear Medicine.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr. Strickland is a professor of physics at Kent State University. His primary interest is the physics of the quark-gluon plasma (QGP) and high-temperature quantum field theory (QFT). The QGP is predicted by quantum chromodynamics (QCD) to have existed until approximately 10-5seconds after the big bang. Dr. Strickland has published research papers on various topics related to the QGP, quantum field theory, relativistic hydrodynamics, and many other topics. In addition, he has co-written a classic text on the physics of neural networks.Title from PDF title page (viewed on December 9, 2019).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643277028

Classification

530.12

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Subject(s)

SCIENCE / Physics / Quantum Theory.
Quantum field theory.
Relativistic quantum theory.

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Statement of Responsibility

Michael Strickland.

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