A Possible Way of Connecting the Grassmann Variables and the Number of Generation

Details A Possible Way of Connecting the Grassmann Variables and the Number of Generation A Possible Way of Connecting the Grassmann Variables and the Number of Generation

1993-05-21

arxiv.org/abs/hep-ph/9305294v1

Phys.Rev. D49 (1994) 567-568

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, Revtex, UM-P-93/40, OZ-93/10

Scientific paper

10.1103/PhysRevD.49.567

We construct a Left-Right symmetric model in which the number of generation is related to Grassmann variables. We introduce two sets of complex Grassmann variables ($\theta^1_q$,$\theta^2_q$), ($\theta^1_l$, $\theta ^2_l$) and associate each variable with left- and right-handed quark and lepton fields, respectively. Expanding quark and lepton fields in powers of the Grassmann variables, we find that there are exactly three generations of quarks and leptons. Integrating out the Grassmann variables, we obtain phenomenologically acceptable fermion mass matrices.

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