Quantum fields and motives (Q2575590)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum fields and motives |
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Quantum fields and motives (English)
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5 December 2005
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The paper is a survey of results of the authors concerning the relationship between perturbative renormalization and motivic Galois theory. It is shown that all quantum field theories have a common universal symmetry given by a motivic Galois group. This group provides a universal formula for couterterms and is obtained via Riemann-Hilbert correspondence.
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perturbative renormarization
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Hopf algebras
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Riemann-Hilbert correspondence
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