The Dawning of Gauge Theory
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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.
PrefaceAcknowledgmentsIntroduction31Gauge Transformations in Classical Electromagnetism13Gravitation and Electricity242Aftermath of Einstein's Gravitational Theory383Generalizations of Einstein's Theory44On the Unification Problem of Physics53Quantum Theory and Five-Dimensional Relativity59On the Invariant Form of the Wave and Motion Equations for a Charged Point-Mass704The Renaissance of Weyl's Idea: EM Gauge Theory77On a Remarkable Property of the Quantum-Orbits of a Single Electron87Quantization as an Eigenvalue Problem91Quantum-Mechanical Interpretation of Weyl's Theory945Weyl's Classic, 1929107Electron and Gravitation1216Klein's Serendipity, 1938147On the Theory of Charged Fields1527Pauli's Dimensional Reduction, 1953166Meson-Nucleon Interaction and Differential Geometry1718The Yang-Mills Theory, 1953-54182Isotopic Spin Conservation and a Generalized Gauge Invariance185Conservation of Isotopic Spin and Isotopic Gauge Invariance1869Shaw's SO(2) Approach, 1954-55197Invariance under General Isotopic Spin Transformations20010Utiyama's General Approach, 1954-55208Invariant Theoretical Interpretation of Interaction213Conclusion240References243Index247