Introduction to classical field theory : a tour of the fundamental interactions /

This book is a short introduction to classical field theory, and is most suitable for undergraduate students who have completed at least intermediate-level courses in electromagnetism and classical mechanics. The main theme of the book is showcasing the role of fields in mediating action-at-a-distan...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lancaster, Jarrett L. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Field theory (Physics)
Electromagnetism.
Yang-Mills theory.
Gravity.
Electricity, electromagnetism & magnetism.
SCIENCE / Physics / Electromagnetism.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Motivation and introduction
  • 1.1. The four fundamental interactions
  • 1.2. Particle exchange and force mediation
  • 1.3. Examining a simple model
  • 1.4. Relativity emerges
  • 1.5. The necessity of fields and a conundrum
  • 1.6. Exercises
  • 2. Basics of scalar field theory
  • 2.1. From oscillators to fields
  • 2.2. Lagrange and Hamilton
  • 2.3. Hamiltonian with sources
  • 2.4. The attractive Yukawa potential
  • 2.5. Some relativistic technology
  • 2.6. Relativistic field theories
  • 2.7. Exercises
  • 3. Electromagnetism
  • 3.1. Maxwell's equations
  • 3.2. Lagrangian formulation
  • 3.3. Why like charges repel : the Coulomb potential
  • 3.4. Resolution of a conundrum and magnetic energy
  • 3.5. The electric field in arbitrary spatial dimensions
  • 3.6. Propagation of interactions
  • 3.7. Electromagnetic duality and magnetic monopoles
  • 3.8. Gauge invariance
  • 3.9. Exercises
  • 4. Yang-Mills theory
  • 4.1. From Maxwell to Yang-Mills
  • 4.2. Nonabelian gauge theory formalism
  • 4.3. The static potential
  • 4.4. The strong nuclear interaction
  • 4.5. Classical color charge dynamics
  • 4.6. Effective static quark-antiquark potential
  • 4.7. Electroweak unification and Higgs mechanism
  • 4.8. Exercises
  • 5. Gravity as a field theory
  • 5.1. The trouble with Newtonian gravity
  • 5.2. Constructing an appropriate field theory
  • 5.3. Emergence of Newton's law of gravity
  • 5.4. Interactions of light and matter
  • 5.5. A glimpse at general relativity
  • 5.6. Gravity with extra, compactified dimensions
  • 5.7. Exercises
  • Appendix A. Mathematical results.

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