Probabilistic Methods in Quantum Field Theory and Quantum Gravity

P H Damgaard

ISBN 10: 0306436027 / ISBN 13: 9780306436024

Editore: Springer, 1990

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Druck auf Anfrage Neuware - Printed after ordering - Lectures.- Some Stochastic 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.- Stochastic 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 Stochastic 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 Stochastic Quantization of the Gravitational Field.- Solved and Unsolved Problems in the Stochastic Quantization of Gravity.- Brs Symmetry and Supersymmetry in Stochastic Quantization.- Hidden BRST Symmetry and Large N.- On Gauge Invariances in Stochastic Quantization.- Critical Dynamics, Stochastic Quantization and Supersymmetry.- Renormalization in Stochastic 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.- An Approach to Quantum Field Theory Through Stochastic Equations.- Remarks on the Renormalisation of Fermions Coupled to Gauge Fields in the Zwanziger Gauge.- The Parisi-Wu Method and Quantum Chaos.- Participants.

Codice articolo 9780306436024

Dati bibliografici

• Titolo: Probabilistic Methods in Quantum Field Theory and Quantum Gravity
• Editore: Springer
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 0306436027
• ISBN 13: 9780306436024
• Rilegatura: Buch
• Condizione: Neu

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Riassunto

The meeting encompassed all Euclidean quantum field theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Contributors examine the space-time discretized lattice field theories, and present optimized techniques that combine features of ordinary Monte Carlo methods, langevin equations, the microcanonical ensemble, overrelaxation, and cluster updatings. The subject of gravity is treated both from the point of view of stochastic quantization and the approach of discretizing space-time in an attempt to obtain a scheme that can be treated by numerical methods. Annotation copyright Book News, Inc. Portland, Or.

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