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Canonical Gravity: From Classical to Quantum

Proceedings of the 117th WE Heraeus Seminar Held at Bad Honnef, Germany, 13–17 September 1993

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. J. Ehlers
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  2. H. Friedrich
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Part of the book series: Lecture Notes in Physics (LNP, volume 434)

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Table of contents (12 papers)

  1. Front Matter

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  2. Prima facie questions in quantum gravity

    • C. J. Isham
    Pages 1-21

  3. Hamilton's formalism for systems with constraints

    • A. Wipf
    Pages 22-58

  4. The classical theory of canonical general relativity

    • R. Beig
    Pages 59-80

  5. Ashtekar variables in classical general relativity

    • Domenico Giulini
    Pages 81-112

  6. Quantization of systems with constraints

    • Petr Hájiček
    Pages 113-149

  7. Canonical quantum gravity and the question of time

    • C. J. Isham
    Pages 150-169

  8. The semiclassical approximation to quantum gravity

    • Claus Kiefer
    Pages 170-212

  9. Loop representations

    • Bernd Brügmann
    Pages 213-253

  10. Gauge theory and gravity in the loop formulation

    • Renate Loll
    Pages 254-288

  11. Reduced models for quantum gravity

    • T. Thiemann
    Pages 289-318

  12. Adjointness relations as a criterion for choosing an inner product

    • Alan D. Rendall
    Pages 319-326

  13. Overview and outlook

    • Abhay Ashtekar
    Pages 327-367

  14. Back Matter

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Keywords

About this book

The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.

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