Abstract
Extending an argument due to Landau, we attempt to estimate the number of quark flavors in SU(2) \ifmmode\times\else\texttimes\fi{} U(1), SU(3) \ifmmode\times\else\texttimes\fi{} U(1), and SU(2) \ifmmode\times\else\texttimes\fi{} SU(2) \ifmmode\times\else\texttimes\fi{} U(1) models of weak interactions. Mass correction is crudely taken into account by assuming a semiempirical formula for quark masses ${m}_{n}\ensuremath{\sim}{3}^{n}{m}_{0}$. We suggest that with a large number of fermions the unification of weak, electromagnetic and strong interactions may occur at a scale far below the Planck mass.
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