Constructive field theory and applications: Perspectives and open problems

2000/06/01 by V. Rivasseau
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Black Holes and Theoretical Physics #Calculus (dental) #Constructive #Constructive criticism #Electromagnetic Simulation and Numerical Methods #Field (mathematics) #Mathematical problem #Mathematical theory #math-ph #math.MP

paper · pdf · doi:10.1063/1.533326

published as J.Math.Phys. 41 (2000) 3764-3775

openalex publication_date 2000/06/01 · arxiv created 2000/06/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we review many interesting open problems in mathematical physics which may be attacked with the help of tools from constructive field theory. They could give work for future mathematical physicists trained with constructive methods well into the 21st century.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• An Explicit Large Versus Small Field Multiscale Cluster Expansion
• The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas
• Limit laws for Random matrices and free products
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Phases of N = 2 theories in two dimensions
• Axioms for Euclidean Green's functions