Description
Book SynopsisIllustrates 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.
Trade Review"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
Table of ContentsPrefaceAcknowledgmentsIntroduction31Gauge 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
