Critical Exponents for Long-Range Interactions

Critical exponents for a d-dimensional system with an isotropic n-component order parameter and long-range attractive interactions decaying as 1{r^d+} (>0) are derived, using the renormalization group approach, as power series in =2-d>0 (2, fixed) or =-12d>0 (d fixed) and, separately, to order 1n for all d and 2. For 2 the exponents assume their short-range values.