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Geometry and Quantum Physics

Proceedings of the 38. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. H. Gausterer

    1. Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

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  2. L. Pittner

    1. Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

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  3. Harald Grosse

    1. Institut für Theoretische Physik, Universität Wien, Wien, Austria

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  • The contributions of J. Baez and of D. Kastler will certainly have an impact on future developments in quantum field theory and can be used for seminar work for advanced students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 543)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-VII
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  2. Notes on Equivariant Localization

    • Anton Alekseev
    Pages 1-24

  3. An Introduction to Spin Foam Models of BF Theory and Quantum Gravity

    • John C. Baez
    Pages 25-93

  4. T-Duality and the Gravitational Description of Gauge Theories

    • Cesar Gomez, Pedro Silva
    Pages 95-129

  5. Noncommutative Geometry and Basic Physics

    • Daniel Kastler
    Pages 131-230

  6. An Introduction to Noncommutative Geometry

    • J. Madore
    Pages 231-273

  7. Geometric Properties of Transport in Quantum Hall Systems

    • Th. Richter, R. Seiler
    Pages 275-310

  8. q-Deformed Heisenberg Algebras

    • Julius Wess
    Pages 311-382

  9. Quantum Gravity with Matter Fields in Two Dimensions

    • Elmar Bittner, Wolfhard Janke, Harald Markum, Jürgen Riedler
    Pages 383-383

  10. A Quantum Minkowski Space-Time

    • Bianca Letizia Cerchiai
    Pages 384-384

  11. Supersymmetry and Nonperturbative Aspects in Quantum Cosmology

    • Evgueni E. Donets, Mirian M. Tsulaia
    Pages 385-385

  12. Noncommutative Supergeometry of Graded Matrix Algebras

    • H. Grosse, G. Reiter
    Pages 386-386

  13. Duals for Nonabelian Lattice Gauge Theories

    • Harald Grosse, Karl-Georg Schlesinger
    Pages 387-387

  14. Absolute Conservation Law for Black Holes

    • Daniel Grumiller
    Pages 388-388

  15. Double Numbers and Two Dimensional Anomaly Free Field Models

    • V. Hrytsau, Yu. A. Kurochkin
    Pages 389-389

  16. A Global Path Integral for Yang-Mills Theory

    • Helmuth Hüffel, Gerald Kelnhofer
    Pages 390-390

  17. Anyonic Solutions to the Thirring Model

    • N. Ilieva, W. Thirring
    Pages 391-391

  18. Twisting of Quantum Differentials

    • Shahn Majid, Robert Oeckl
    Pages 392-392

  19. Wigner Solid and Laughlin Liquid of Bose Condensed Charge-Vortex Composites

    • Guenther Meissner
    Pages 393-393

  20. The Modular Closure of Braided Tensor Categories

    • Michael Müger
    Pages 394-394
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Keywords

About this book

In modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students and researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, and non-commutative geometry, as well as Connes' approach to the standard model.

Editors and Affiliations

  • Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

    H. Gausterer, L. Pittner

  • Institut für Theoretische Physik, Universität Wien, Wien, Austria

    Harald Grosse

Bibliographic Information

  • Book Title: Geometry and Quantum Physics

  • Book Subtitle: Proceedings of the 38. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999

  • Editors: H. Gausterer, L. Pittner, Harald Grosse

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-46552-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Hardcover ISBN: 978-3-540-67112-1Published: 18 February 2000

  • Softcover ISBN: 978-3-662-14287-5Published: 03 October 2013

  • eBook ISBN: 978-3-540-46552-2Published: 11 January 2008

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: VII, 408

  • Topics: Mathematical Methods in Physics, Quantum Physics, Quantum Field Theories, String Theory, Elementary Particles, Quantum Field Theory

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