Non-commutative Renormalization

Details Non-commutative Renormalization Non-commutative Renormalization

2007-05-04

arxiv.org/abs/0705.0705v1

Physics

High Energy Physics

High Energy Physics - Theory

82 pages, Poincare Seminar, updated and expanded version of arXiv:hep-th/0702068

Scientific paper

A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful 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 non-commutative than on ordinary space: indeed it has no Landau ghost. Noncommutativity might therefore be an alternative to supersymmetry. We review this rapidly growing subject.

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