Mixed Hodge Structures and Renormalization in Physics
arXiv:0804.4399
Abstract
We relate renormalization in perturbative quantum field theory to the theory of limiting mixed Hodge structures using parametric representations of Feynman graphs.
48 pages, more expository details added, typos corrected
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Cited by in corpus (12)
- Combinatorial Dyson-Schwinger equations in noncommutative field theory
- Combinatorial Hopf Algebras in (Noncommutative) Quantum Field Theory
- Renormalization and Mellin transforms
- The core Hopf algebra
- Renormalization and resolution of singularities
- Feynman integrals and motives of configuration spaces
- Graph complexes and Feynman rules
- A motivic approach to phase transitions in Potts models
- Not so non-renormalizable gravity
- Algebra for quantum fields
- Motives: an introductory survey for physicists
- Three Etudes in QFT