SEMINAIRE Mulhousien de MATHEMATIQUES

résumé/abstract


Dorothea Bahns (DESY, Hambourg)

 

The shuffle Hopf algebra and quasiplanar Wick products

 

The operator valued distributions which arise in quantum field theory on the noncommutative Minkowski space can be symbolized by a generalization of chord diagrams, the dotted chord diagrams. I will show that the combinatorial aspects of quasiplanar Wick products can be understood in terms of the shuffle Hopf algebra of dotted chord diagrams, leading to an algebraic characterization of quasiplanar Wick products as a convolution. I will also speak about the impossibility to construct a weight system for universal knot invariants from these distributions.

 

 


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Dernières modifications / Last modifications :  18 Avril 2008