Mathematical Problems in Theoretical Physics

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Lattice instantons: What they are and why they are important
3. Altmetric Badge
   Chapter 2 Gauge fields on the lattice
4. Altmetric Badge
   Chapter 3 Lattice gauge theories
5. Altmetric Badge
   Chapter 4 Some frontiers in constructive quantum field theory and equilibrium statistical mechanics
6. Altmetric Badge
   Chapter 5 New proofs of long range order
7. Altmetric Badge
   Chapter 6 Number of phases in one component ferromagnets
8. Altmetric Badge
   Chapter 7 A survey of local cohomology
9. Altmetric Badge
   Chapter 8 Operator algebras and statistical mechanics
10. Altmetric Badge
    Chapter 9 Foundations of equilibrium quantum statistical mechanics
11. Altmetric Badge
    Chapter 10 Unbounded derivations of C*-algebras and corresponding dynamics
12. Altmetric Badge
    Chapter 11 Introduction to the flow of weights on factors of type III
13. Altmetric Badge
    Chapter 12 The von Neumann algebra of a foliation
14. Altmetric Badge
    Chapter 13 Nuclearity and the C*-algebraic flip
15. Altmetric Badge
    Chapter 14 On the Connes spectrum of simple C*-dynamical systems
16. Altmetric Badge
    Chapter 15 Quantum field theory of massless particles and scattering theory
17. Altmetric Badge
    Chapter 16 Scattering theory in quantum mechanics and asymptotic completeness
18. Altmetric Badge
    Chapter 17 Static solitons in more than one dimension
19. Altmetric Badge
    Chapter 18 Geometry of Yang-Mills fields
20. Altmetric Badge
    Chapter 19 Periodic solitons and algebraic geometry
21. Altmetric Badge
    Chapter 20 Yang--Mills equations as inverse scattering problem
22. Altmetric Badge
    Chapter 21 Nonlinear evolution equations solvable by the inverse spectral transform
23. Altmetric Badge
    Chapter 22 Quantization of particle-like solutions in field theory
24. Altmetric Badge
    Chapter 23 Topics in infinite dimensional analysis
25. Altmetric Badge
    Chapter 24 Mathematical foundations of the renormalization group method in statistical physics
26. Altmetric Badge
    Chapter 25 On the renormilization group for the hierarchical model
27. Altmetric Badge
    Chapter 26 Fluctuationes in Curie-Weiss exemplis
28. Altmetric Badge
    Chapter 27 Mathematical Problems in Theoretical Physics
29. Altmetric Badge
    Chapter 28 Dynamical systems with turbulent behavior
30. Altmetric Badge
    Chapter 29 Generic properties of Navier-Stokes equations
31. Altmetric Badge
    Chapter 30 A limit theorem for turbulent diffusion
32. Altmetric Badge
    Chapter 31 Many particle scattering aitlitudes
33. Altmetric Badge
    Chapter 32 A Remark on equations of motion in asymptotically free theories
34. Altmetric Badge
    Chapter 33 Short-distance expansion for products of current-like operators
35. Altmetric Badge
    Chapter 34 The use of exterior forms in field theory
36. Altmetric Badge
    Chapter 35 On extensions of flows in the presence of sets of singularities
37. Altmetric Badge
    Chapter 36 On the uniqueness of the equilibrium state for plane rotators
38. Altmetric Badge
    Chapter 37 A geometric approach to the solution of conformal invariant field equations
39. Altmetric Badge
    Chapter 38 Stability, detailed balance and KMS condition for quantum systems
40. Altmetric Badge
    Chapter 39 Stochasticity and irreversibility in infinite mechanical systems
41. Altmetric Badge
    Chapter 40 Why the KMS states?
42. Altmetric Badge
    Chapter 41 A comment to the talk by E. Seiler