Abstract
An explicit expression for the vortex velocity field as a function of the order parameter field is derived for the case of point defects in the $O(n)$ symmetric time-dependent Ginzburg-Landau model. This expression is used to find the vortex velocity probability distribution in the Gaussian closure approximation in the case of phase ordering kinetics for a nonconserved order parameter. The velocity scales as ${L}^{\ensuremath{-}1}$ in scaling regime where $L\ensuremath{\approx}{t}^{1/2}$ and $t$ is the time after the quench.
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