The Dawning of Gauge Theory

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Item specifics

Condition
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Clean and tight. No names, writings or markings.”
Country of Origin
United States
Region
World
Subjects
Mathematics & Sciences
Age Level
Adults
Features
Illustrated
ISBN
9780691029771
Category

About this product

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691029776
ISBN-13
9780691029771
eBay Product ID (ePID)
876337

Product Key Features

Number of Pages
272 Pages
Language
English
Publication Name
Dawning of Gauge Theory
Publication Year
1997
Subject
Physics / Quantum Theory, Physics / Electromagnetism, Physics / General, Gravity
Type
Textbook
Author
Lochlainn O'raifeartaigh
Subject Area
Science
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
13.8 Oz
Item Length
9.1 in
Item Width
6.5 in

Additional Product Features

Intended Audience
College Audience
LCCN
96-043337
TitleLeading
The
Dewey Edition
21
Reviews
"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, "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, 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, 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.
Illustrated
Yes
Dewey Decimal
530.1/435
Table Of Content
Preface Acknowledgments Introduction 3 1 Gauge Transformations in Classical Electromagnetism 13 Gravitation and Electricity 24 2 Aftermath of Einstein's Gravitational Theory 38 3 Generalizations of Einstein's Theory 44 On the Unification Problem of Physics 53 Quantum Theory and Five-Dimensional Relativity 59 On the Invariant Form of the Wave and Motion Equations for a Charged Point-Mass 70 4 The Renaissance of Weyl's Idea: EM Gauge Theory 77 On a Remarkable Property of the Quantum-Orbits of a Single Electron 87 Quantization as an Eigenvalue Problem 91 Quantum-Mechanical Interpretation of Weyl's Theory 94 5 Weyl's Classic, 1929 107 Electron and Gravitation 121 6 Klein's Serendipity, 1938 147 On the Theory of Charged Fields 152 7 Pauli's Dimensional Reduction, 1953 166 Meson-Nucleon Interaction and Differential Geometry 171 8 The Yang-Mills Theory, 1953-54 182 Isotopic Spin Conservation and a Generalized Gauge Invariance 185 Conservation of Isotopic Spin and Isotopic Gauge Invariance 186 9 Shaw's SO(2) Approach, 1954-55 197 Invariance under General Isotopic Spin Transformations 200 10 Utiyama's General Approach, 1954-55 208 Invariant Theoretical Interpretation of Interaction 213 Conclusion 240 References 243 Index 247
Synopsis
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. This book also describes how the abelian electromagnetic gauge-theory was generalized to its non-abelian form., 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., 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. This book describes the first phase of the development. The author 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
LC Classification Number
QC174.45.O7 1997

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