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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.
This collection of selected reprints presents as broad a selection
as possible, emphasizing formal and numerical aspects of Stochastic
Quantization. It reviews and explains the most important concepts
placing selected reprints and crucial papers into perspective and
compact form.
This collection of selected reprints presents as broad a selection
as possible, emphasizing formal and numerical aspects of Stochastic
Quantization. It reviews and explains the most important concepts
placing selected reprints and crucial papers into perspective and
compact form.
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