ALGEBRO-GEOMETRIC FEYNMAN RULES
DOI10.1142/S0219887811005099zbMath1225.81101arXiv0811.2514OpenAlexW3101881153WikidataQ60145523 ScholiaQ60145523MaRDI QIDQ5390323
Paolo Aluffi, Matilde Marcolli
Publication date: 1 April 2011
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.2514
Feynman rulesGrothendieck ring of varietiesChern-Schwartz-MacPherson classesgraph hypersurfacesparametric Feynman integrals
Group rings (16S34) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of manifolds of mappings to the sciences (58D30) Grothendieck groups (category-theoretic aspects) (18F30) Grothendieck groups, (K)-theory and commutative rings (13D15)
Related Items
Cites Work
- Cohomology of graph hypersurfaces associated to certain Feynman graphs
- Chern classes for singular varieties, revisited.
- On motives associated to graph polynomials
- Motives associated to graphs
- Mixed Hodge structures and renormalization in physics
- Feynman motives of banana graphs
- Chern classes for singular algebraic varieties
- On a Verdier-type Riemann-Roch for Chern-Schwartz-MacPherson class
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Quantum fields and motives
- Chern classes of blow-ups
- Coalgebras and Bialgebras in Combinatorics
- Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- The massless higher-loop two-point function