  We investigate dynamical scaling properties in the integer quantum Hall
effect for non-interacting electrons at zero temperature, by means of the
frequency-induced peak broadening of the dissipative longitudinal conductivity
$\sigma_{xx}(\omega)$. This quantity is calculated numerically in the lowest
Landau level for various values of the Fermi energy $E$, of the frequency
$\omega$, and of the system size $L$. Data for the width $W(\omega,L)$ of the
peak are analyzed by means of the dynamical finite-size scaling law
$W(\omega,L)\approx L^{-1/\nu}f\bigl(\omega L^z\bigr)$, where $\nu$ is the
static critical exponent of the localization length, and $z$ is the dynamical
exponent. A fit of the data, assuming $\nu=2.33$ is known, yields $z=1.19\pm
0.13$. This result indicates that the dynamical exponent in the integer quantum
Hall effect may be different from the pertinent space dimension ($d=2$), even
in the absence of interactions between electrons.
