Berlin 2015 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Quantenfeldtheorie I

MP 6.1: Talk

Wednesday, March 18, 2015, 09:30–09:50, HFT-FT 101

Twisted spectral triple for the standard model — •Pierre Martinetti — Università di Trieste

Because the Higgs mass is below 130 GeV, there is an instability in the electroweak vacuum which might be problematic for the coherence of the standard model of elementary particles. The stability can be restored by assuming there is another scalar field, suitably coupled to the Higgs. Recently, Connes and Chamseddine have noticed that this new field also makes the computation of the Higgs mass in commutative geometry compatible with the experimental mass. More specifically, into the spectral triple of the standard model, the new field is obtained by turning the neutrino Majorana mass into a field. However the usual way to turn a constant into a field (the so-called fluctuation of the metric) does to work in this case, because of one of the condition defining a spectral triple (the first order condition). We show how to overcome this difficulty by twisting the spectral triple, following a procedure proposed in a completely different context by Connes and Moscovici some years ago.