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Connes-Kreimer Hopf algabra for non-commutative field theory

Presented by: 
A Tanasa [Max-Planck]
Thursday 10th April 2008 - 16:15 to 17:00
INI Seminar Room 1

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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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons