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T: Fachverband Teilchenphysik

T 24: Andere Gebiete der Theorie

T 24.1: Talk

Friday, March 2, 2012, 09:45–10:00, VG 3.101

Conformal Unification - a new path to a Higgs free standard model — •Karsten Busse — Martin-Luther-Universität Halle Wittenberg, von-Danckelmann-Platz 4, 06120 Halle

A conformal invariant generalization of the Dirac equation for massive spinors is constructed, which can be used to predict an additional relationship between the three coupling constants in the low energy limit: the SU(2) gauge coupling constant g2 is must equal the geometric average of the U(1) and SU(3) coupling constants. At MZ the deviation is only 2% for PDG values. Furthermore, the corresponding SU(2) coupling is parity violating and the SU(3) coupling obtaines asymptotic freedom. The Lagrangian is simplified by using two different approaches: in case of pointlike particles, the mass term remains in the equations, whereas in case of extended fields (QFT approach) the mass term vanishes. In both cases, left and right handed components of the spinor are mixed by local conformal transformations.

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