PARTICIPANTS. S. Albeverio Institute of Mathematics Ruhr Universitiit Bochum Postfach U niversitiitsstrasse 150 D-4630 Bochum 1 F.R.

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1 PARTICIPANTS S. Albeverio Institute of Mathematics Ruhr Universitiit Bochum Postfach U niversitiitsstrasse 150 F.R. Germany J.L. Alfaro Facultad de Fisica Universidad Catolica de Chile Casilla 6177 Santiago-22, Chile. J. Ambj!ilrn Bitnet: P. van Baal Theory Group Switzerland Bitnet: P.H. Damgaard Bitnet: G. Dell'Antonio Dept. of Mathematics University of Rome Piazzale Aldo Moro Rome H. Flyvbjerg Bitnet: E. Gozzi Theory Group Switzerland Bitnet: L. Baulieu Lab. de Physique TMorique et Hautes Energies Universite P. et M. Curie (Paris VI) Tour 16 4, Place Jussieu F Paris CEDEX 05 S. Caracciolo Scoula Normale Superiore Pisa Bitnet: J. Greensite San Francisco State University 1600 Holloway Ave. San Francisco, CA Z. Haba University of Bielefeld D-4800 Bielefeld F.R. Germany Bitnet:

2 370 M. Halpern Univ. of California Berkeley, CA H. Hamber Univ. of California Irvine, CA Bitnet: U.M. Heller SCRI Florida State University Tallahassee, FL 32306, Bitnet: R. Horgan H. Huffel University of Vienna Boltzmanngasse 5 A-1090 Vienna Austria Bitnet: G. Jona-Lasinio 1st. di Fisica G. Marconi Univ. of Rome (INFN) Piazzale Aldo Moro Rome T. Jonsson Science Institute University of Iceland Dunhaga Reykjavik Iceland Bitnet: F. Karsch TH Division A. Kennedy SCRI,479SCL Florida State University Tallahassee, FL Bitnet: J.R. Klauder University of Florida Gainesville, FL P.V. Landshoff Bitnet: C.P. Martin Bitnet: I. Montvay DESY Notkestrasse 85 D-2000 Hamburg F.R. Germany Bitnet: G. Munster II. Luruper Chaussee 149 D-2000 Hamburg 50 Bitnet: H. Nakazato University of the Ryukyus Nishihara, Okinawa Japan Bitnet: N. Nakazawa Institute for Nuclear Study University of Tokyo Midoricho, Tanashi-shi Tokyo 188 Japan Bitnet:

3 J.C. Niel Dept. de Physique Theorique CEN-Saclay Orme des Merisier F Gif-sur-Yvette CEDEX K. Okano University of Siegen Adolf Reichwein Strasse Postfach D-5900 Siegen Bitnet: o KAN or S. Paycha Mathematical Institute Ruhr Universitiit Bochum Postfach Universitiitsstrasse 150 A. Rosenblum International Institute of Theoretical Physics Utah State University Logan, UT H. Rumpf University of Vienna Boltzmanngasse 5 A-1090 Vienna Austria S. Scarlatti Institute of Mathematics NA/3122 L. SchUlke Department of Physics University of Siegen D-5900 Siegen Bitnet: B.P.W. Soderberg Institute for Theoretical Physics Solvegatan 14 S Lund Sweden Bitnet: J.F. Wheater Dept. of Theoretical Physics 1 Keble Road Oxford OXI 3NP Bitnet J. Zinn-Justin Dept. de Physique Theorique CEN-Saclay Orme des Merisier F Gif-sur-Yvette CEDEX D. Zwanziger New York University 4 Washington Place New York, NY

4 INDEX Asymptotic safety, 37 Auto correlation matrix, 187 time, 334 Beltrami differentials, 292 Born-Oppenheimer approximation, 139 Brownian motion on Riemannian manifolds, 77, 272 BRST -symmetry gravity, 259 hidden, 279 stochastic quantization, 303, 357 Central limit theorem, 22 Chemical potential, 200 Chern-Simons action, 38, 303 Christoffel connection, 351 Classical mechanics operational approach, 339 path integral formulation, 339 Cluster algorithm, 228 Collective coordinates, 281, 284 Conformal field theory, 332, 353 Conformal group, 353 Continuum regularization, 55 Coordinate-free quantization, 74 Cosmological constant, 40 Critical exponents, 23, 334 Critical slowing down, 93, 331 Curvature, 39 extrinsic, 331 Gaussian, 331 DeWitt supermetric, 62, 259 Diffeomorphism invariance, 292 Dirichlet forms, 2 Einstein action, 244 Electric flux, 131 Expansion epsilon, 295 lin, 284 Faddeev-Popov ghosts, 259 operator, 108 Finite size effect, 227 Finite volume expansion, 132 Flow gauge, 57 Fokker-Planck equation, 262, 275, 296 Fourier Acceleration, 333 Gauge orbit, 108 Gauss-Bonnet, topological invariant, 39 Gauss-Seidel, minimization, 183 Gel'fand-Neimark-Segal theorem, 80 Girsanov-Cameron-Martin theorem, 350 Graviton, 37 Gravity de Sitter, 38 Euclidean, 56, 267 Euclidean linearized, 267 higher derivative, 245 simplicial quantum, 46 stochastic quantization, 66, 267 Gribov ambiguity, 131 copy, 107 horizon, 107, 131, 139, 287 problem, 287 Gross-Neveu model, 87 Hausdorff dimension, 318 Hybrid stochastic algorithm, 209 Instantons, 133 Integrable systems, 343 Invariance general coordinate, 267 reparametrization, 326, 331 Ising model, 226, 343 Ito calculus, 272, 301, 350 KMS condition, 346 Langevin equation, 168, 260, 299, 333 hidden supersymmetry, 300 overrelaxed, 185 Laplace-Beltrami operator, 272, 350 Lattice gauge theory, 37 gravity, 40 QCD, dynamical fermions,

5 Large-N limit, 279 Leapfrog algorithm, 209 Levi-Civita connection, 272 Lie derivative, 343 Liouville field,25 operator, 340 Magnetic monopole, charge, 294 Markov fields, 1 process, 1, 211 Matrix model, Hermitean, 281 Measure DeWitt, 249 Misner, 248 Metric DeWitt, 84 induced,331 Metropolis, updating, 91 Migdal-Makeenko equation, 56 Mirror fermions, 98 Monomer-Dimer algorithm, 199 Monomers, 88 Nambu-Goto action, 331 Orbifold singularities, 134 Overrelaxation, 183 stochastic algorithm, 185 Path integral, fermionic, 87 Physical relevance, 225 Plaquette clusters, 93 Polymer algorithm, 87 averaging, 88 representation, 87 Pseudofermion method, 168, 211 Quantum gravity, 37 discretized, 37 Euclidean, 56 simplicial, 45, 243 QCD, at finite density, 199 Quark loops virtual, 167 Random walk, 21, 311, Random surfaces Ising spins, 325 model planar, 318 self avoiding, 318 Reflection positivity, 48 Regge action, 37, 246 calculus, 1 Renormalization fermions, 355 superspace, 303 stochastic quantization, 297, 299 Renormalization group, 184 Riemannian geometry, 73 Runge-Kutta method, 196 Schwinger-Dyson equations, 59, 280 Slave equations, 191 Solid-on-solid model, 318 Space-time foam, 52 Spin-connection, 38 Staggered fermions, 87 Stochastic quantization generally covariant, 271 Minkowski space, 269 superspace formulation, 296, 303 Stratonovich calculus, 272, 301, 350 String field theory, 21 non critical, 21 Polyakov,24 tension, 28, 322, 331 theory, 37 Superfield, 296 Superspace, 296 Supersymmetry hidden, 342 Parisi-Sourlas, 263 Symplectic geometry, 73 Torsion, 39 Triangulation, 21, 325, 332 Universality, 23 Vierbein, 38 Ward-Takahashi identities, 280, 297, 306 Wavefunction of the universe, 233 Wess-Zumino action, 32 Weyl anomaly, 56 reflections, 136 Wheeler-DeWitt equation, 234 Wiener measure, 73 process, 350, 386 Yang-Mills, topological action, 291 Zwanziger gauge fixing, 57,

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