Probabilistic Methods in Quantum Field Theory and Quantum Gravity
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 shastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of shastic 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 shastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic shastic quantization scheme developed in 1981 by Parisi and Wu: Shastic quan­ tization, its intrinsic BRST -structure and shastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.
"1029787314"
Probabilistic Methods in Quantum Field Theory and Quantum Gravity
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 shastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of shastic 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 shastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic shastic quantization scheme developed in 1981 by Parisi and Wu: Shastic quan­ tization, its intrinsic BRST -structure and shastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.
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Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

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Overview

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 shastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of shastic 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 shastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic shastic quantization scheme developed in 1981 by Parisi and Wu: Shastic quan­ tization, its intrinsic BRST -structure and shastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Product Details

ISBN-13: 9780306436024
Publisher: Springer-Verlag New York, LLC
Publication date: 01/28/1990
Series: NATO Science Series B: Physics Series , #224
Pages: 384
Product dimensions: 7.00(w) x 10.00(h) x 0.88(d)

Table of Contents

Lectures.- Some Shastic Techniques in Quantization, New Developments in Markov Fields and Quantum Fields.- Random Surfaces: A Non-perturbative Regularization of Strings?.- From Lattice Gauge Theory Towards Gravity.- Geometric Continuum Regularization of Quantum Field Theory.- Quantization = Geometry + Probability.- Simulation of Staggered Fermions by Polymer Algorithms.- All Gauge Orbits and Some Gribov Copies Encompassed by the Gribov Horizon.- Lattice Gauge Theories.- Beyond the Gribov Horizon in the Femto Universe.- The O (N)-symmetric Non-linear—-model to Three Leading Orders in 1/N.- Simulations of Lattice QCD with Dynamical Fermions.- Shastic Overrelaxation Algorithms and Critical Slowing down.- Slave Equations for Connected Correlation Functions.- The Monomer-Dimer Algorithm and QCD at Finite Density.- The Theory of Hybrid Shastic Algorithms.- Numerical Investigation of Four-Dimensional Field Theories.- Quantum Gravity.- Probabilit?, Time and Gravity.- Simplicial Quantum Gravity from Two to Four Dimensions.- BRS Symmetry in Shastic Quantization of the Gravitational Field.- Solved and Unsolved Problems in the Shastic Quantization of Gravity.- Brs Symmetry and Supersymmetry in Shastic Quantization.- Hidden BRST Symmetry and Large N.- On Gauge Invariances in Shastic Quantization.- Critical Dynamics, Shastic Quantization and Supersymmetry.- Renormalization in Shastic Quantization and Supersymmetry.- Random Walks and Random Surfaces.- Random Walk Representation of Propagators for Particles with Spin.- The Critical Behavior of a Nontrivial Random Surface Model.- Random Surfaces with Ising Spins.- The Use of Fourier Acceleration in the Langevin Simulation of Random Surfaces.- Miscellany.- Path Integral Approach to Classical Mechanics.- AnApproach to Quantum Field Theory Through Shastic Equations.- Remarks on the Renormalisation of Fermions Coupled to Gauge Fields in the Zwanziger Gauge.- The Parisi-Wu Method and Quantum Chaos.- Participants.
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