  The critical behavior of $U(n)$-$\chi^{4}$-model with antisymmetric tensor
order parameter at charged regime is studied by means of the field theoretic
renormalization group at the leading order of $\varepsilon$-expansion (one-loop
approximation). It is shown that renormalization group equations have no
infrared attractive charged fixed points. It is also shown that anomalous
dimension of the order parameter in charged regime appears to be gauge
dependent.
