International Symposium on Mathematical Problems in Theoretical Physics: January 23-29, 1975, Kyoto University, Kyoto, Japan (Lecture Notes in Physics)

Analyticity properties of scattering amplitudes: A review of some recent developments....Pages 1-12 Recent development in hyperfunction theory and its application to physics (microlocal analysis of s-matrices and related quantities)....Pages 13-29 Micro-local calculus....Pages 30-37 Microlocal study of S-matrix singularity structure....Pages 38-48 Convolutors for ultrahyperfunctions....Pages 49-54 Mass singularities of Feynman amplitudes....Pages 55-58 Large momentum behaviour of Feynman amplitudes....Pages 59-65 Spectral dependence of the analyticity domain of local vertex functions....Pages 66-71 Asymptotics and light-cone singularities in quantum field theory....Pages 72-84 Structure of singularities of Wightman-distributions and the Wilson-Zimmermann-expansion respectively lightcone-expansion....Pages 85-91 Conformal invariance in Minkowskian quantum field theory and global operator expansions....Pages 92-101 On some massless superrenormalizàble and nonrenormalizable theories....Pages 102-106 The locality condition in parafermi field theory....Pages 107-110 Bound state nature and deep inelastic structure functions....Pages 111-113 The physical content of the statistical bootstrap and high energy hadron interaction....Pages 114-115 Field theoretical approach to composite particle reactions....Pages 116-117 Particles and bound states and progress toward unitarity and scaling....Pages 118-127 Field theory of relativistic strings....Pages 128-137 Results and problems in irreversible statistical mechanics of open systems....Pages 138-150 The Wightman axioms and the mass gap for weakly coupled (Φ 4 ) 3 quantum field theories....Pages 151-159 Soluble models and the meaning of nonrenormalizability....Pages 160-169 Bound states and asymptotic fields in model field theories....Pages 170-174 Feynman propagators associated with the Veneziano model....Pages 175-179 Dual string models and quantum gravity....Pages 180-183 Physical states satisfying supergauge conditions in dual resonance models....Pages 184-186 The canonical quantization of a relativistic string....Pages 187-188 Algebraic methods and quark structure....Pages 189-195 Unitarity and asymptotic condition in a model with dipole ghost....Pages 196-198 Invariant gauge families inherent in Abelian-gauge field theory....Pages 199-201 Space-time approach to anomalies in the Ward-Takahashi identities and implications in physical processes....Pages 202-204 Dispersion approach to Ward-Takahashi identities....Pages 205-213 Renormalization of supersymmetric gauge theories....Pages 214-217 Stochastic calculus....Pages 218-223 Asymptotic properties of the spectral distributions of disordered systems....Pages 224-227 A remark to Harris's theorem on percolation....Pages 228-229 The ergodicity of the motion of a particle in a potential field....Pages 230-235 Ergodicity of some simple model systems of infinitely many particles....Pages 236-237 New exact solutions of the classical Yang-Mills field equation....Pages 238-239 Topology of Higgs fields....Pages 240-241 Spontaneous breaking of chiral symmetry in a vector-gluon model....Pages 242-244 Quantum field-theoretical approach to spontaneously broken gauge invariance....Pages 245-248 Reviews on axiomatic study of symmetry breaking....Pages 249-255 Structure of renormalized Feynman amplitudes....Pages 256-260 On the regularization in the Callan-Symanzik equation....Pages 261-263 The statistics of particles in local quantum theories....Pages 264-273 Relaxation and fluctuation of macrovariables....Pages 274-280 Holomorphic functions with a nonnegative imaginary part in the future tube....Pages 281-282 Algebraic aspects of Wightman quantum field theory....Pages 283-292 The infrared problem and non-fock representations of the canonical commutation relations....Pages 293-293 Dynamical theories of Brownian motion....Pages 294-296 Continuous representations of the test function algebra and the existence problem for quantum fields....Pages 297-302 Unbounded derivations of C* algebras....Pages 303-311 A method for making relativistic non-quantum systems by constructing the Hamiltonian and the other nine generating functions....Pages 312-314 An algebraic approach to the theory of K-flows and K-entropy....Pages 315-318 Symmetry restoration at finite temperature....Pages 319-325 Critical behaviour of stationary random fields....Pages 326-329 Phase transitions of continuous order....Pages 330-335 Order of the phase transition related to the degeneracy and interaction with proposal for an exact problem....Pages 336-338 The Heisenberg model on the Cayley tree....Pages 339-341 Generalized Gell-Mann and low group Transformations: Scaling variables and cross-over effects....Pages 342-348 Generalizations and applications of Callan-Symanzik equations to statistical mechanics in critical phenomena....Pages 349-352 On the rigorous definition of superfluidity and superconductivity....Pages 353-355 Variational problems and free boundary problems....Pages 356-369 Uniqueness, analyticity and decay properties of correlations in equilibrium systems....Pages 370-379 On the propagation of support of solutions to general systems of partial differential equations....Pages 380-386 Wave propagation in a non-linear lattice....Pages 387-393 Quantization of non-linear waves....Pages 394-400 On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type....Pages 401-407 Global solutions to the Broadwell's model of Boltzmann equation for a simple discrete velocity gas....Pages 408-412 Scaling method for asymptotic evaluation in nonequilibrium statistical mechanics....Pages 413-419 Self-entrainment of a population of coupled non-linear oscillators....Pages 420-422 Thermodynamic limit of non-equilibrium systems....Pages 423-431 Equilibrium states and ergodic properties of infinite systems....Pages 432-432 Variational principles for Markov processes and Onsager principle....Pages 433-436 Functional averages in statistical physics....Pages 437-445 On the validity of collective variable description of bose systems....Pages 446-448 Equilibrium statistical mechanics of one-dimensional classical lattice systems....Pages 449-457 A look at the development of spectral and scattering theory in Japan....Pages 458-466 On the Born-Oppenheimer approximation....Pages 467-471 Abstract approaches to spectral and scattering theory, contributions from Japan....Pages 472-475 Eigenfunction expansions for differential operators with operator-valued coefficients and their applications to the Schrödinger operators with long-range potentials....Pages 476-482 Asymptotic completeness in three-particle quantum mechanical scattering....Pages 483-485 Decay and asymptotics for wave equations with dissipative term....Pages 486-490 Treatment of three body problems in coordinate space....Pages 491-496 Links between decay properties of correlations and analyticity of the pressure and correlation functions....Pages 497-503 Linear response , stability , cluster properties....Pages 504-509 Equilibrium and metastable states of classical systems....Pages 510-515 Dynamical theories of Brownian motion....Pages 516-519 Distribution of zeros and the equation of state....Pages 520-523 New theorems on algebraic equation and its application to statistical physics....Pages 524-527 Operator-valued-measure approach to spectra of two-dimensional classical harmonic lattices....Pages 528-531 Models for relativistic statistical mechanics....Pages 532-534 Path integrals in Riemannian manifolds....Pages 535-542 Bose quantum field theory as an Ising ferromagnet: Recent developments....Pages 543-553