Probabilistic Methods in Quantum Field Theory and Quantum Gravity: Workshop Proceedings: 224 (NATO Science Series B: Physics) - Hardcover

Hardcover

ISBN 10: 0306436027 ISBN 13: 9780306436024

Verlag: Springer, 1990

Inhaltsangabe

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.

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Reseña del editor

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"

Biografía del autor

Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1990
• ISBN 10: 0306436027
• ISBN 13: 9780306436024
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 388
• Herausgeber: Damgaard Poul Henrik, Hüffel H., Rosenblum A.
• Kontakt zum Hersteller: Nicht verfügbar