Fundamental Theories of Physics

Symmetries in Fundamental Physics

Authors: Sundermeyer, Kurt

  • A unifying perspective on physics based on symmetry considerations
  • An insightful reading on fundamental physics
  • Written by the author of the book “Constrained Dynamics” which became a reference in the field
  • With interesting remarks on the history of the subject
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  • ISBN 978-3-319-06581-6
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Hardcover $189.00
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  • ISBN 978-3-319-06580-9
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Softcover $189.00
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  • Due: August 30, 2016
  • ISBN 978-3-319-34264-1
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Reviews

From the book reviews:

“The material is very well organized, clean and easy to find. And contains a lot of useful content. … this is an excellent book that can become a formidable companion for a student or for a researcher. There is a lot of stuff here, explained in a very clean way. Very good job, Prof. Sundermeyer!” (Giuseppe Nardelli, Mathematical Reviews, October, 2014)

Table of contents (9 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-319-06581-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-319-06580-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: August 30, 2016
  • ISBN 978-3-319-34264-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries in Fundamental Physics
Authors
Series Title
Fundamental Theories of Physics
Series Volume
176
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06581-6
DOI
10.1007/978-3-319-06581-6
Hardcover ISBN
978-3-319-06580-9
Softcover ISBN
978-3-319-34264-1
Series ISSN
0168-1222
Edition Number
2
Number of Pages
XXVIII, 788
Number of Illustrations and Tables
28 b/w illustrations
Topics