Short-time critical behaviour of anisotropic cubic systems with long-rangeinteraction

The renormalization group approach is applied to the study of the short-tim e critical behaviour of the d-dimensional n-component anisotropic cubic spi n systems with long-range interaction of the form p(sigma)s(p)s(-p) in mome ntum space. Firstly, the system is quenched from a high temperature to the critical temperature and then relaxes to equilibrium within the model A dyn amics. The asymptotic scaling laws and the initial slip exponents theta' an d theta of the order parameter and the response function, respectively, are calculated to the second order in epsilon = 2 sigma - d. For 1 less than o r equal to d < 2<sigma> and n > n(c), the cubic anisotropy affects the shor t-time critical behaviour.