Dorothea Bahns (Hamburg):

On renormalization in noncommutative field theory

Abstract:

This is an expository talk on recent results in renormalization of quantum fields on noncommutative spaces. First I explain how the shuffle Hopf algebra of chord diagrams appears in renormalization on the noncommutative Minkowski space. I then point out differences between theories with Minkowskian or Euclidean signature, and in particular, address the longstanding ultraviolet/infrared mixing problem which is absent in the Minkowskian setting at least for a certain class of graphs.

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