# CSM

## Seminar

### Connes-Kreimer Hopf algabra for non-commutative field theory

Seminar Room 1, Newton Institute

#### Abstract

The re-normalization process in quantum field theory on commutative space-time was expressed in terms of a Hopf algebra structure, the Connes-Kreimer algebra. Recently, some models of field theories on the non-commutative Moyal space were proven to be re-normalizable also. Despite the non-local nature of these models, we construct here the Hopf algebra structure adapted for the process of re-normalization of these non-commutative field theory.

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