Abstract
Connes’ gauge theory is defined on noncommutative space-time. It is applied to formulate a noncommutative Weinberg-Salam (WS)model in the leptonic sector with νR. It is shown that the model has two Higgs doublets and a gauge boson sector after the Higgs mechanism contains the massive charged gauge fields, two massless and two massive neutral gauge fields. It is also shown that, at the tree level, the neutrino couples to one of two ‘photons’, the electron interacts with both ‘photons’, and there exists a nontrivial νR-interaction on noncommutative space-time. To investigate the commutative limit of the model at the Lagrangian level, we generalize the charge conjugation transformation in QED to that in noncommutative QED. We show that there are two different generalizations, the C and � � � � � � .
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