A possible way of connecting the Grassmann variables and the number of generations
Journal
Physical Review D
Journal Volume
49
Journal Issue
1
Pages
567-568
Date Issued
1994
Author(s)
Abstract
We construct a left-right symmetric model in which the number of generations is related to Grassmann variables. We introduce two sets of complex Grassmann variables (q1, q2), (l1, l2) 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. © 1994 The American Physical Society.
Type
journal article