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The coupling constants $g_L$ and $g_X$ of some versions of the$SU(3)_L\otimes U(1)_X$ extension of the standard model are related through torelationship $g^2_X/g^2_L= \sin^2\theta_W/(1 - 4\sin^2\theta_W)$. This factsuggest that the $SU(3)_L\otimes U(1)_X$ gauge symmetry in this class of modelscan be broken dynamically to the standard model at TeV scale without requiringthe introduction of fundamental scalars. This possibility was investigated byDas and Jain who considered only the first version of this class of models. Inthis brief report we discuss an energy criterion to verify the most probableversion of the $SU(3)_L\otimes U(1)_X$ model that is realized in nature.

The Energy Criterion and Dynamical Symmetry Breaking in a $SU(3)_L \otimes U(1)_X$ Extension of the Standard Model