Constructive Field Theory and Applications: Perspectives and Open Problems
V. Rivasseau (Ecole Polytechnique, Palaiseau, France)

TL;DR
This paper reviews open problems in mathematical physics that can be addressed using constructive field theory, aiming to guide future research and training in this area.
Contribution
It highlights key open problems in mathematical physics solvable by constructive field theory methods, providing a roadmap for future research.
Findings
Identification of open problems in mathematical physics
Potential applications of constructive field theory to these problems
Guidance for future research and training in the field
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.
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Taxonomy
TopicsElectromagnetic Simulation and Numerical Methods · Advanced Numerical Methods in Computational Mathematics · Electromagnetic Scattering and Analysis
