Relativistic quantum field theory. Volume 1, Canonical formalism /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Strickland, M. T. (Michael Thomas), 1969- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2019]
Colección:IOP (Series). Release 6.
IOP concise physics.
IOP series in nuclear spectroscopy and nuclear structure.
Temas:
Relativistic quantum theory.
Quantum field theory.
Quantum physics (quantum mechanics & quantum field theory).
SCIENCE / Physics / Quantum Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 fields
  • 2. 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 functions
  • 3. 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 theory
  • 4. 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 section
  • 5. 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 coupling
  • Appendices. A. Classical mechanics review
  • B. Functionals and functional derivatives
  • C. Tensor algebra
  • D. Mandelstam variables.

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