Mathematical Problems in Theoretical Physics: International Conference Held in Rome, June 6–15, 1977

✍ Scribed by Arthur Jaffe (auth.), G. Dell'Antonio, S. Doplicher, G. Jona-Lasinio (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1978
• Tongue: English
• Leaves: 434
• Series: Lecture Notes in Physics 80
• Edition: 1
• Category: Library

✦ Table of Contents

Lattice instantons: What they are and why they are important....Pages 3-13
Gauge fields on the lattice....Pages 14-25
Lattice gauge theories....Pages 26-36
Some frontiers in constructive quantum field theory and equilibrium statistical mechanics....Pages 37-58
New proofs of long range order....Pages 59-67
Number of phases in one component ferromagnets....Pages 68-80
A survey of local cohomology....Pages 81-93
Operator algebras and statistical mechanics....Pages 94-105
Foundations of equilibrium quantum statistical mechanics....Pages 106-123
Unbounded derivations of C-algebras and corresponding dynamics....Pages 124-133
Introduction to the flow of weights on factors of type III....Pages 134-144
The von Neumann algebra of a foliation....Pages 145-151
Nuclearity and the C-algebraic flip....Pages 152-160
On the Connes spectrum of simple C*-dynamical systems....Pages 161-170
Quantum field theory of massless particles and scattering theory....Pages 171-182
Scattering theory in quantum mechanics and asymptotic completeness....Pages 183-204
Static solitons in more than one dimension....Pages 205-215
Geometry of Yang-Mills fields....Pages 216-221
Periodic solitons and algebraic geometry....Pages 222-228
Yang--Mills equations as inverse scattering problem....Pages 229-234
Nonlinear evolution equations solvable by the inverse spectral transform....Pages 235-269
Quantization of particle-like solutions in field theory....Pages 270-278
Topics in infinite dimensional analysis....Pages 279-302
Mathematical foundations of the renormalization group method in statistical physics....Pages 303-311
On the renormilization group for the hierarchical model....Pages 312-312
Fluctuationes in Curie-Weiss exemplis....Pages 313-324
On the problem of the mathematical foundation of the Gibbs postulate ie classical statistical mechanics....Pages 325-340
Dynamical systems with turbulent behavior....Pages 341-360
Generic properties of Navier-Stokes equations....Pages 361-370
A limit theorem for turbulent diffusion....Pages 371-374
Many particle scattering aitlitudes....Pages 375-385
A Remark on equations of motion in asymptotically free theories....Pages 386-389
Short-distance expansion for products of current-like operators....Pages 390-394
The use of exterior forms in field theory....Pages 395-402
On extensions of flows in the presence of sets of singularities....Pages 405-414
On the uniqueness of the equilibrium state for plane rotators....Pages 415-416
A geometric approach to the solution of conformal invariant field equations....Pages 417-419
Stability, detailed balance and KMS condition for quantum systems....Pages 420-425
Stochasticity and irreversibility in infinite mechanical systems....Pages 426-432
Why the KMS states?....Pages 433-435
A comment to the talk by E. Seiler....Pages 436-438

✦ Subjects

Physics, general