Vincent Rivasseau (Paris):

Why Renormalizable Noncommutative Quantum Field Theories?

Abstract:

A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful both for physics beyond the standard model or for standard physics in strong external field. The good news is that quantum field theory is better behaved on noncommutative than on ordinary space-time. Some models at least should be completely finite, even beyond perturbation theory. Noncommutative field theory might therefore possibly become an alternative to supersymmetry or to string theory as a way to tame ultraviolet divergencies. We suggest that by gluing together many noncommutative theories at high energy one can obtain an effective commutative field theory at lower energy.

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