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The renormalisation group approach is applied to the study of the short-timecritical behaviour of the $d$-dimensional Ginzburg-Landau model with long-rangeinteraction of the form $p^{\sigma} s_{p}s_{-p}$ in momentum space. Firstly thesystem is quenched from a high temperature to the critical temperature and thenrelaxes to equilibrium within the model A dynamics. The asymptotic scaling lawsand the initial slip exponents $\theta^{\prime}$ and $\theta$ of the orderparameter and the response function respectively, are calculated to the secondorder in $\epsilon=2\sigma-d$.Comment: 18 pages, 4 figures, 1 tabl

The short-time critical behaviour of the Ginzburg-Landau model with long-range interaction