Mathematical problems in theoretical physics. International conference held in Rome, June 6--15, 1977
type: Item
instance of: scholarly article
title: Mathematical problems in theoretical physics. International conference held in Rome, June 6--15, 1977
zbMATH Open document ID: 0416.46054
published in: Lecture Notes in Physics
publication date: 1978-01-01T00:00:00Z
review text: There are 34 main lectures and 7 short communications in this volume. Leading specialists in mathematical physics and related topics contributed lectures for this volume (A. Jaffe, K. Osterwalder, E. Lieb, H. Araki, D. Kastler, J. Combes, M. Atiyah, S. Novikov, V. Zakharov, S. Albeverio, Ya. Sinai, P. Calogero, R. Dobrushin, D. Ruelle, R. Temam, W. Thirring to mention a few. The questions under discussion are rather diverse. They include constructive quantum field theory, lattice gauge theories, phase transitions, operator algebras, analysis on manifolds and topology in quantum field theory, solitons and inverse scattering techniques, statistical physics, turbulence and asymptotic behavior of dynamical systems and Navier-Stokes equations. The mathematical interesting papers will be reviewed individually. In the whole this collection gives an up to date report on the recent developments in some important parts of mathematical physics and provides references for those who are going to work in these fields. Table of Contents: Arthur Jaffe, Lattice instantons: What they are and why they are important (3--13); Gian Fabrizio De Angelis, Gauge fields on the lattice (14--25); K. Osterwalder, E. Seiler, Lattice gauge theories (26--36); Jürg Fröhlich, Some frontiers in constructive quantum field theory and equilibrium statistical mechanics (37--58); Elliott H. Lieb, New proofs of long range order (59--67); Joel L. Lebowitz, Number of phases in one component ferromagnets (68--80); John E. Roberts, A survey of local cohomology (81--93) [Zbl 0449.55009]; Huzihiro Araki, Operator algebras and statistical mechanics (94--105) [Zbl 0436.46055]; Daniel Kastler, Foundations of equilibrium quantum statistical mechanics (106--123) [Zbl 0433.46060]; Ola Bratteli, Richard H. Herman, Unbounded derivations of \(C^*\)-algebras and corresponding dynamics (124--133) [Zbl 0429.46038]; Masamichi Takesaki, Introduction to the flow of weights on factors of type II (134--144) [Zbl 0463.46051]; Alai…
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 82-02
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 46-06
Mathematics Subject Classification ID: 46-02
Mathematics Subject Classification ID: 46L60
zbMATH DE Number: 3647586
zbMATH Keywords: Mathematical problems
zbMATH Keywords: Theoretical physics
zbMATH Keywords: Proceedings
zbMATH Keywords: Conference
zbMATH Keywords: Rome
zbMATH Keywords: mathematical physics
zbMATH Keywords: constructive quantum field theory
zbMATH Keywords: lattice gauge theories
zbMATH Keywords: phase transition
zbMATH Keywords: operator algebras
zbMATH Keywords: analysis on manifolds
zbMATH Keywords: solitons
zbMATH Keywords: inverse scattering techniques
zbMATH Keywords: statistical physics
zbMATH Keywords: stochastic behavior of dynamical systems
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3647586