  The critical behavior of the XY model on small-world network is investigated
by means of dynamic Monte Carlo simulations. We use the short-time relaxation
scheme, i.e., the critical behavior is studied from the nonequilibrium
relaxation to equilibrium. Static and dynamic critical exponents are extracted
through the use of the dynamic finite-size scaling analysis. It is concluded
that the dynamic universality class at the transition is of the mean-field
nature. We also confirm numerically that the value of dynamic critical exponent
is independent of the rewiring probability P for P > 0.03.
