TL;DR
This paper discusses a new renormalization approach on non-commutative Moyal space, highlighting its improved behavior over traditional quantum field theory and potential implications for physics beyond the standard model.
Contribution
It introduces a novel scale analysis and renormalization method applicable to non-commutative spaces, with potential to replace supersymmetry in certain contexts.
Findings
Quantum field theory on non-commutative space lacks Landau ghost.
Non-commutative renormalization could be useful for physics beyond the standard model.
Non-commutativity improves the behavior of 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 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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