Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-11
J.Phys.A42:045204,2009
Physics
High Energy Physics
High Energy Physics - Theory
30 pages
Scientific paper
10.1088/1751-8113/42/4/045204
Prompted by a recent demonstration that the structure of a single quark-lepton generation may be understood via a Dirac-like linearization of the form p^2+x^2, we analyze the corresponding Clifford algebra in some detail. After classifying all elements of this algebra according to their U(1) x SU(3) and SU(2) transformation properties, we identify the element which might be associated with the concept of lepton mass. This element is then transformed into a corresponding element for a single coloured quark. It is shown that - although none of the three thus obtained individual quark mass elements is rotationally invariant - the rotational invariance of the quark mass term is restored when the sum over quark colours is performed.
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