Abstract

with Jn (x)=:J)nH 0 (x) jaxn, G(x)=1+J1 (x) +2xJ2 (x), and where the dot denotes differentiation with respect to the renormalization parameter l. Since this equation is much simpler than the exact renormalization group equation (2 · 20) of Wegner and Houghton2l (hereafter abbreviated as WH)*l and also appears to give reasonable values for the critical exponents for d>2, it seems worthwhile to find corrections to this equation in the hope of developing a successive approximation scheme starting from (1). To do this we start with the exact renormalization group equation (WH (2·20)), and write H as

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