Constructive Field Theory and Applications: Perspectives and Open Problems
arXiv:math-ph/0006017 · doi:10.1063/1.533326
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 the constructive methods well within the 21st century.
References in corpus (6)
- A proof of the Gutzwiller Semiclassical Trace Formula using Coherent States Decomposition
- A local fluctuation theorem
- KAM Theorem and Quantum Field Theory
- Small denominators and anomalous behaviour in the Holstein-Hubbard model
- Mass Generation in the Large N nonlinear sigma-Model
- Ward type identities for the 2d Anderson model at weak disorder
Cited by in corpus (7)
- Constructive Matrix Theory
- Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
- Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
- Hamiltonian Renormalisation II. Renormalisation Flow of 1+1 dimensional free scalar fields: Derivation
- Snowmass White Paper: The Quest to Define QFT
- Hamiltonian Renormalisation V: Free Vector Bosons
- Towards the fundamental spectrum of the Quantum Yang-Mills Theory