Classical Covariant Fields / Edition 1

Classical Covariant Fields / Edition 1

by Mark Burgess
     
 

This book discusses the classical foundations of field theory, using the language of variational methods and covariance. There is no other book which gives such a comprehensive overview of the subject, exploring the limits of what can be achieved with purely classical notions. These classical notions have a deep and important connection with the second quantized field… See more details below

Overview

This book discusses the classical foundations of field theory, using the language of variational methods and covariance. There is no other book which gives such a comprehensive overview of the subject, exploring the limits of what can be achieved with purely classical notions. These classical notions have a deep and important connection with the second quantized field theory, which is shown to follow 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. It uses a well documented set of conventions and catalogues results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret results physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.

Read More

Product Details

ISBN-13:
9780521675772
Publisher:
Cambridge University Press
Publication date:
07/31/2005
Series:
Cambridge Monographs on Mathematical Physics Series
Edition description:
New Edition
Pages:
552
Product dimensions:
6.85(w) x 9.72(h) x 1.10(d)

Related Subjects

Table of Contents

Foreword
Pt. 1Fields1
1Introduction3
2The electromagnetic field9
3Field parameters32
4The action principle50
5Classical field dynamics72
6Statistical interpretation of the field113
7Examples and applications131
Pt. 2Groups and fields167
8Field transformations169
9Spacetime transformations207
10Kinematical and dynamical transformations256
11Position and momentum283
12Charge and current325
13The non-relativistic limit340
14Unified kinematics and dynamics358
15Epilogue: quantum field theory390
Pt. 3Reference: a compendium of fields397
16Gallery of definitions399
17The Schrodinger field410
18The real Klein-Gordon field416
19The complex Klein-Gordon field425
20The Dirac field430
21The Maxwell radiation field452
22The massive Proca field464
23Non-Abelian fields466
24Chern-Simons theories486
25Gravity as a field theory491
Pt. 4Appendices499
App. AUseful formulae501
App. B: Recommended reading513
References515
Index521

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >