Table of Contents for O'Raifeartaigh, L.: The Dawning of Gauge Theory.

The Dawning of Gauge Theory
Lochlainn O'Raifeartaigh

TABLE OF CONTENTS:

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