Eur. Phys. J. C (2007) 50: 109-112
https://doi.org/10.1140/epjc/s10052-006-0191-5

Regular Article - Theoretical Physics

Grand unification on noncommutative spacetime

Service de Physique Théorique, CP225, Boulevard du Triomphe, 1050, Brussels, Belgium

^* e-mail: xcalmet@ulb.ac.be

Received: 23 July 2006
Published online: 19 January 2007

Abstract

We compute the beta-functions of the standard model formulated on a noncommutative spacetime. If we assume that the scale for spacetime noncommutativity is of the order of 2.2×10¹⁵ GeV, we find that the three gauge couplings of the standard model merge at a scale of 2.3×10¹⁷ GeV. The proton lifetime is thus much longer than in conventional unification models.