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Recent calculations on ferromagnets with n-component spins and with long-range forces (the interaction between spin decays as 1{r^d+}, where d is the dimensionality of the system and >0) have given exponents which are apparently discontinuous at =2, i. e. , when the transition to short-range interactions is made. By solving Wilson's exact recursion relations to order ^2 (=2-d) we show that the exponents, , and are continuous functions of and that there exists a region of long-range potentials defined by 2>>2-ₒₑ where the exponents assume their short-range values.
J. Sak (Sun,) studied this question.