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Probabilistic Methods in Quantum Field Theory and Quantum Gravity

  • Book
  • © 1990

Overview

Editors:
  1. P. H. Damgaard

    1. The Niels Bohr Institute, Copenhagen, Denmark

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  2. H. Hüffel

    1. University of Vienna, Vienna, Austria

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  3. A. Rosenblum

    1. Utah State University, Logan, USA

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Part of the book series: NATO Science Series B: (NSSB, volume 224)

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-ix
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  2. Lectures

    1. Some stochastic techniques in quantization, new developments in Markov fields and quantum fields

      • Sergio Albeverio, Boguslav Zegarlinski
      Pages 1-19

    2. Random Surfaces: A Non-Perturbative Regularization of Strings?

      • Jan Ambjørn
      Pages 21-36

    3. From Lattice Gauge Theory Towards Gravity

      • Sergio Caracciolo, Andrea Pelissetto
      Pages 37-54

    4. Geometric Continuum Regularization of Quantum Field Theory

      • M. B. Halpern
      Pages 55-71

    5. Quantization = Geometry + Probability

      • John R. Klauder
      Pages 73-85

    6. Simulation of Staggered Fermions by Polymer Algorithms

      • Istvan Montvay
      Pages 87-106

    7. All Gauge Orbits and Some Gribov Copies Encompassed by the Gribov Horizon

      • Gianfausto Dell’Antonio, Daniel Zwanziger
      Pages 107-130
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About this book

From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan­ tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Editors and Affiliations

  • The Niels Bohr Institute, Copenhagen, Denmark

    P. H. Damgaard

  • University of Vienna, Vienna, Austria

    H. Hüffel

  • Utah State University, Logan, USA

    A. Rosenblum

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