DOIAbstract
AbstractWe study co-ideals in the core Hopf algebra underlying a quantum field theory
AbstractWe study co-ideals in the core Hopf algebra underlying a quantum field theory
Three equivalent methods allow to compute the antipode of the Hopf algebras of Feynman diagrams in p...
◮ Renormalization in quantum field theory is a physics process to make sense of mathematically undef...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
We show how to use the Hopf algebra structure of quantum field theory to derive nonperturbative resu...
We review Kreimer's construction of a Hopf algebra associated to the Feynman graphs of a perturbativ...
Renormalization theory is a venerable subject put to daily use in many branches of physics. Here, we...
27 pages, 4 figures. Slightly edited version of the published paperInternational audienceThis paper ...
International audienceThese are the notes of five lectures given at the Summer School {\em Geometric...
In 1999, A. Connes and D. Kreimer have discovered the Hopf algebra structure on the Feynman graphs o...
Recent elegant work on the structure of Perturbative Quantum Field Theory (PQFT) has revealed an ast...
This is a survey of our results on the relation between perturbative renormalization and motivic G...
We construct a three-parameter deformation of the Hopf algebra $\LDIAG$. This is the algebra that ap...
Abstract. This article aims to give a short introduction into Hopf-algebraic aspects of renormalizat...
In 1998, Connes and Kreimer introduced a combinatorial Hopf algebra HCK on the vector space of fore...
We extend the Hopf algebra description of a simple quantum system given previously, to a more elabor...
Three equivalent methods allow to compute the antipode of the Hopf algebras of Feynman diagrams in p...
◮ Renormalization in quantum field theory is a physics process to make sense of mathematically undef...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
We show how to use the Hopf algebra structure of quantum field theory to derive nonperturbative resu...
We review Kreimer's construction of a Hopf algebra associated to the Feynman graphs of a perturbativ...
Renormalization theory is a venerable subject put to daily use in many branches of physics. Here, we...
27 pages, 4 figures. Slightly edited version of the published paperInternational audienceThis paper ...
International audienceThese are the notes of five lectures given at the Summer School {\em Geometric...
In 1999, A. Connes and D. Kreimer have discovered the Hopf algebra structure on the Feynman graphs o...
Recent elegant work on the structure of Perturbative Quantum Field Theory (PQFT) has revealed an ast...
This is a survey of our results on the relation between perturbative renormalization and motivic G...
We construct a three-parameter deformation of the Hopf algebra $\LDIAG$. This is the algebra that ap...
Abstract. This article aims to give a short introduction into Hopf-algebraic aspects of renormalizat...
In 1998, Connes and Kreimer introduced a combinatorial Hopf algebra HCK on the vector space of fore...
We extend the Hopf algebra description of a simple quantum system given previously, to a more elabor...
Three equivalent methods allow to compute the antipode of the Hopf algebras of Feynman diagrams in p...
◮ Renormalization in quantum field theory is a physics process to make sense of mathematically undef...
International audienceWe give a new factorisable ribbon quasi-Hopf algebra U , whose underlying alge...
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