Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-27
Phys.Lett. B324 (1994) 380-386
Physics
High Energy Physics
High Energy Physics - Theory
9p, MZ-TH/93-26
Scientific paper
10.1016/0370-2693(94)90210-0
Alain Connes' construction of the standard model is based on a generalized Dirac-Yukawa operator and the K-cycle $(\HD ,D)$, with $\HD$ a fermionic Hilbert space. If this construction is reformulated at the level of the differential algebra then a direct comparison with the alternative approach by the Marseille-Mainz group becomes possible. We do this for the case of the toy model based on the structure group $U(1)\times U(1)$ and for the $SU(2)\times U(1)$ of electroweak interactions. Connes' results are recovered without the somewhat disturbing $\gamma_{5}$-factors in the fermion mass terms and Yukawa couplings. We discuss both constructions in the same framework and, in particular, pinpoint the origin of the difference in the Higgs potential obtained by them.
Papadopoulos Nikolaos A.
Plass J.
Scheck Florian
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