Short-time dynamics of the random n-vector model

Short-time critical behavior of the random n-vector model is studied by the theoretic renormalization-group approach. Asymptotic scaling laws are stud ied in a frame of the expansion in epsilon = 4 - d for n not equal 1 and ro ot epsilon for n = 1 respectively. In d < 4, the initial slip exponents <th eta>' for the order parameter and theta for the response function are calcu lated up to the second order in epsilon = 4 - d for n not equal 1 and root epsilon for n = 1 at the random fixed point respectively. Our results show that the random impurities exert a strong influence on the short-time dynam ics for d < 4 and n < n(c).