Marcolli, Matilde
Feynman Motives
- ISBN 13:
- 9789814304481
- author:
- Marcolli, Matilde
- format:
- Paperback
- publisher:
- Wspc
- language:
- English
- Publication Year:
- 2010
- Pages:
- 236
- Dimensions:
- 22.8 x 15.2 x 1.8 cm
- Genre:
- MATHEMATICS / Number Theory
- Condition:
- New
- Availability:
- Item usually sent within 20 working days
Description
Feynman Motives presents recent research aimed at understanding the connection between Feynman integrals in quantum field theory and motives of algebraic varieties. This relationship is rooted in the observation that multiple zeta values appear in calculations of Feynman integrals. Two approaches are described: a "bottom-up" method, which constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals; and a "top-down" approach, which compares Tannakian categories of mixed Tate motives with those constructed from renormalization data in perturbative scalar field theories.
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