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The Dawning of Gauge Theory
 
 
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The Dawning of Gauge Theory [Paperback]

Lochlainn O'Raifeartaigh (Author)
4.5 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

0691029776 978-0691029771 May 5, 1997

During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase.

O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.



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Editorial Reviews

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The book thus performs a double service: it offers a rewarding description of the development of the gauge symmetry idea that is complete even without the original papers, and it makes those original papers readily accessible to physicists and mathematicians. . . . This book represents an important contribution to the history of fundamental ideas in physics. -- American Journal of Physics

Product Details

  • Paperback: 272 pages
  • Publisher: Princeton University Press (May 5, 1997)
  • Language: English
  • ISBN-10: 0691029776
  • ISBN-13: 978-0691029771
  • Product Dimensions: 9.2 x 5.9 x 0.7 inches
  • Shipping Weight: 10.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #1,743,690 in Books (See Top 100 in Books)

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11 of 11 people found the following review helpful:
4.0 out of 5 stars The papers speak for themselves, March 24, 1998
By 
Matthew Self (Redwood City, California) - See all my reviews
(REAL NAME)   
This review is from: The Dawning of Gauge Theory (Paperback)
A powerhouse collection of papers in modern Physics! O'Raifeartaigh's introduction and commentary brings each paper's contribution into sharp focus (with benefit of hindsight, of course).

The papers by Weyl and Kaluza are startling in their simplicity and boldness. If you haven't read them yet, these two alone justify buying the book.

The book does assume familiarity with General Realitivity and tensor analysis. I would highly reccomend Lawden's "An Intoduction to Tensor Calculus, Relativity and Cosmology", or Misner's very complete "Gravitation".

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7 of 7 people found the following review helpful:
4.0 out of 5 stars Thought provoking!, June 26, 2002
By 
C. Hobbs (United States) - See all my reviews
(REAL NAME)   
This review is from: The Dawning of Gauge Theory (Paperback)
I picked this book up when it first came out and gave it a quick read. Now, five years later, having just read it again, I cannot believe that it was not as indelible in my mind then as it is now. A combination of original papers, peppered with O'Raifeartaigh's informed remarks and hindsight, produces an eligant book that follows a timeline that begins with the greatest minds in physics of the last century. The fits and starts of physicists such as London, Fock, Schrodinger, and Klein, though viewed as disparate attempts at the time, give way to an understanding of analogous formulations, and the suggestion of something powerful and underlying. This, of course, being gauge invariance, has equipped the modern physicist with tools that has produced the most striking conclusions: QED and electroweak theory to name a few. The way in which these notions arose, I suspect, is not common knowledge. Just as understanding a breakthrough may only require the reading of a few seminal papers by a few people, the foundation of a good theory often is the result of many people and many false starts. O'Raifeartaigh uses excellent judgement in what to include, and what not to, in his book. It does, incidentally, start with Kuluza-Klein, and run all the way though the 50's to Yang and Mills theory of isotopic spin and gauge invariance (conservation).

A knowledge of tensor analysis (the index (i.e., f_i,j) type), group theory, and differetial geometry is assumed. Topology would broaden the experience.

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5 of 5 people found the following review helpful:
5.0 out of 5 stars A sorely needed book, July 28, 2002
This review is from: The Dawning of Gauge Theory (Paperback)
Once thought of as merely a mathematical curiosity, the concept of gauge invariance now plays the dominant role in theoretical particle physics. Gauge invariance is not a really difficult concept in which to understand, but it does have some hidden subtleties that can seem rather obscure in the context of modern quantum field theories. The reader of this book will walk away with a deeper appreciation of the history of gauge invariance, due to the inclusion of original articles written by some of the early contributors to the theory. These contributions were attempts to generalize Einstein's theory of gravitation, and, just as in that theory, made use of concepts from differential geometry. Ideas from the mathematical theory of groups were also used, setting the stage for later developments in particle physics. One can only wonder of course what these individuals would have thought about modern theories of gravitation and particle interactions, making use of highly esoteric and complex mathematical constructions. Their thinking at the time was itself thought of as very exotic, but it pales in comparison with the level of abstraction that now permeates elementary particle physics in the language of superstring and M-theory.

The author has written additional papers on the history of gauge theory,which can easily be found via an online search, and this book could be considered an excellent introduction to them. He addresses more modern developments in gauge theories as they relate to the early history, such as superstring theory. Readers who study this book, will not only come away with a deeper appreciation of the underlying concepts in gauge theory, but will be prepared to appreciate in greater detail these modern developments, being as they are the best current hope for understanding the nonperturbative region in quantum field theories and string theories.

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Inside This Book (learn more)
First Sentence:
It is probably fair to say that gauge theory originated in the discovery that, in contrast to the Newtonian gravitational and static electrical fields, which are produced by masses and and electric charges respectively, the magnetic field is not produced by magnetic charges but by magnetic dipoles. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
isotopic gauge transformation, local tetrad, spinor particles, spin unity, spinor theory, minimal principle, gauge principle, tetrad formalism, isotopic spin, fifth coordinate, gauge structure, gauge theory, gauge invariance, dimensional reduction, parallel transfer, strong nuclear interactions, gravitational theory, electromagnetic case, contravariant components, charged fields, gauge group, relativistic generalization
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Oskar Klein
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