New mathematical structures in renormalizable quantum field theories
Dirk Kreimer
TL;DR
This paper reviews new mathematical structures discovered in renormalizable quantum field theories that extend beyond traditional formal frameworks, highlighting their potential impact on future research.
Contribution
It identifies and discusses novel mathematical structures in renormalizable quantum field theories that could influence future theoretical developments.
Findings
Discovery of new mathematical structures in quantum field theories
Potential implications for future theoretical advancements
Extension beyond traditional formal frameworks
Abstract
Computations in renormalizable perturbative quantum field theories reveal mathematical structures which go way beyond the formal structure which is usually taken as underlying quantum field theory. We review these new structures and the role they can play in future developments.
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