Probabilistic Methods in Quantum Field Theory and Quantum GravityPoul Henrik Damgaard, P. H. Damgaard, Helmuth Hüffel, A. Rosenblum 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. |
Contents
LECTURES | 1 |
Stochastic Overrelaxation Algorithms and Critical Slowing down | 183 |
Index | 373 |
Copyright | |
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Probabilistic Methods in Quantum Field Theory and Quantum Gravity Poul Henrik Damgaard,H. Hüffel,A. Rosenblum No preview available - 2011 |
Common terms and phrases
action Albeverio algorithm average bosonic boundary conditions chiral classical configuration space constant continuum limit coordinate corresponding coupling covariant curvature defined denotes derivative dimensional dimensions dimer Dirichlet forms dynamics Edited by P. H. eigenvalue equivalence classes error Euclidean fermion finite formulation gauge fields gauge group gauge invariant gauge orbit gauge theory gauge transformations geometry Gribov horizon Gross-Neveu model Hamiltonian Langevin equation lattice Lett loop manifold mass matrix measure Methods in Quantum metric monomers Monte Carlo Monte Carlo results Nucl obtained orbifold P. H. Damgaard parameter path integral phase space Phys physical plaquette polymer polymer configuration propagator pseudofermion quantization Quantum Field Theory Quantum Gravity Quantum Gravity Edited quark random surfaces random walk regularized renormalization representation simulation space-time stochastic quantization supersymmetry symmetry Theory and Quantum vacuum valley vanishes variables vector wave function Weyl group zero