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Publisher:
Cambridge University Press
Online publication date:
November 2022
Print publication year:
2023
Online ISBN:
9781009289887
Creative Commons:
Creative Common License - CC Creative Common License - BY Creative Common License - NC Creative Common License - ND
This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Book description

This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. An ideal supplementary text for courses on elementary field theory, group theory and dynamical systems, it is also a valuable reference for researchers working in these and related areas. It has been reissued as an Open Access publication on Cambridge Core.

Reviews

'In conclusion, I think that this book can be valuable for graduate students in physics, mainly interested in quantum field theories and particle physics, who will appreciate an exhaustive description of the classical foundations of such theories.'

Source: Zentralblatt MATH

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Contents

Full book PDF

Page 1 of 2


  • Frontmatter
    pp i-vi
  • Contents
    pp vii-xviii
  • Foreword
    pp xix-xx
  • Dedication
    pp xxi-xxii
  • Part 1 - Fields
    pp 1-2
  • 1 - Introduction
    pp 3-8
  • 2 - The electromagnetic field
    pp 9-31
  • 3 - Field parameters
    pp 32-49
  • 4 - The action principle
    pp 50-71
  • 5 - Classical field dynamics
    pp 72-112
  • 6 - Statistical interpretation of the field
    pp 113-130
  • 7 - Examples and applications
    pp 131-166
  • Part 2 - Groups and fields
    pp 167-168
  • 8 - Field transformations
    pp 169-206
  • 9 - Spacetime transformations
    pp 207-255
  • 10 - Kinematical and dynamical transformations
    pp 256-282
  • 11 - Position and momentum
    pp 283-324
  • 12 - Charge and current
    pp 325-339
  • 13 - The non–relativistic limit
    pp 340-357
  • 14 - Unified kinematics and dynamics
    pp 358-389
  • 15 - Epilogue: quantum field theory
    pp 390-396
  • Part 3 - Reference: a compendium of fields
    pp 397-398
  • 16 - Gallery of definitions
    pp 399-409
  • 17 - The Schöodinger field
    pp 410-415
  • 18 - The real Klein–Gordon field
    pp 416-424
  • 19 - The complex Klein–Gordon field
    pp 425-429
  • 20 - The Dirac field
    pp 430-451
  • 21 - The Maxwell radiation field
    pp 452-463
  • 22 - The massive Proca field
    pp 464-465
  • 23 - Non–Abelian fields
    pp 466-485

Page 1 of 2


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