42 citations · 72 across the 11 of their papers we have counts for
3 papers · 1 filter
Poisson bundles over unordered configurations
Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin
In this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work wi…
Noncommutative version of Borcherds' approach to quantum field theory
Christian Brouder, Nguyen Viet Dang, Alessandra Frabetti
Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bun…
Renormalization Hopf algebras and combinatorial groups
Alessandra Frabetti
These are the notes of five lectures given at the Summer School {\em Geometric and Topological Methods for Quantum Field Theory}, held in Villa de Leyva (Colombia), July 2--20, 200…