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Geometry and Theoretical Physics

  • Textbook
  • © 1991

Overview

Editors:
  1. Joachim Debrus

    1. Physikzentrum Bad Honnef, Bad Honnef, Fed. Rep. of Germany

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  2. Allen C. Hirshfeld

    1. Lehrstuhl für Theoretische Physik III, Universität Dortmund, Dortmund 1, Fed. Rep. of Germany

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-X
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  2. Fibre Bundles: An Introduction to Concepts of Modern Differential Geometry

    • U. Kasper
    Pages 1-22

  3. Constitutive Laws of Bounded Smoothly Deformable Media

    • E. Binz
    Pages 23-55

  4. Two Lectures on Fermions and Gravity

    • Friedrich W. Hehl, Jürgen Lemke, Eckehard W. Mielke
    Pages 56-140

  5. Braid Group Statistics

    • K.-H. Rehren
    Pages 141-170

  6. Infinite Dimensional Algebras and (2+1)-Dimensional Field Theories: Yet Another View of gl(∞); Some New Algebras

    • Jens Hoppe
    Pages 171-177

  7. Anomalies in Quantum Field Theory

    • Allen C. Hirshfeld
    Pages 178-209

  8. The Rôle of Stratification in Anomalies

    • N. A. Papadopoulos
    Pages 210-223

  9. Field Theoretical Applications of the Index Theorem

    • H. Römer
    Pages 224-242

  10. All Solutions of the Wess-Zumino Consistency Conditions

    • Friedemann Brandt, Norbert Dragon, Maximilian Kreuzer
    Pages 243-266

  11. Modular Invariance, Causality and the PCT-Theorem

    • M. Reuter
    Pages 267-284

  12. Knots and Their Links with Biology and Physics

    • Thomas Schücker
    Pages 285-297

  13. Wolfgang Pauli — über sein Werk und seine Ideen zu den Grundlagen der Physik

    • Konrad Bleuler
    Pages 298-303

  14. Wolfgang Pauli: His Scientific Work and His Ideas on the Foundations of Physics

    • Konrad Bleuler
    Pages 304-310

  15. Back Matter

    Pages 311-323
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Keywords

About this book

The interaction between geometry and theoretical physics has often been very fruitful. A highlight in this century was Einstein's creation of the theory of general relativity. Equally impressive was the recognition, starting from the work of Yang and Mills and culminating in the Weinberg-Salam theory of the electroweak interaction and quantum chromodynamics, that the fundamental interactions of elementary particles are governed by gauge fields, which in ma­ thematical terms are connections in principal fibre bundles. Theoretical physi­ cists became increasingly aware of the fact that the use of modern mathematical methods may be necessary in the treatment of problems of physical interest. Since some of these topics are covered at most summarily in the usual curricu­ lum, there is a need for extra-curricular efforts to provide an opportunity for learning these techniques and their physical applications. In this context we arranged a meeting at the Physikzentrum Bad Ronnef 12-16 February 1990 on the subject "Geometry and Theoretical Physics", in the series of physics schools organized by the German Physical Society. The participants were graduate students from German universities and research institutes. Since the meeting occurred only a short time after freedom of travel between East and West Germany became a reality, this was for many from the East the first opportunity to attend a scientific meeting in the West, and for many from the West the first chance to become personally acquainted with colleagues from the East.

Editors and Affiliations

  • Physikzentrum Bad Honnef, Bad Honnef, Fed. Rep. of Germany

    Joachim Debrus

  • Lehrstuhl für Theoretische Physik III, Universität Dortmund, Dortmund 1, Fed. Rep. of Germany

    Allen C. Hirshfeld

Bibliographic Information

  • Book Title: Geometry and Theoretical Physics

  • Editors: Joachim Debrus, Allen C. Hirshfeld

  • DOI: https://doi.org/10.1007/978-3-642-76353-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-642-76355-7Published: 23 December 2011

  • eBook ISBN: 978-3-642-76353-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 323

  • Topics: Theoretical, Mathematical and Computational Physics, Geometry

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