Dimer lambdad Expansion, Dimensional Dependence of Jn Kernels

Abstract

In previous papers an asymptotic expansion for the dimer lambdad of the form lambdad ~ (1/2)ln(2d) - 1/2 + c1/d + c2/d2 ... was developed. Kernels Jn were a key ingredient in the theory. Herein we prove Jn are of the form Jn = Cr/dr + C(r+1)/d(r+1) + ... + C(n-1)/d(n-1) with r > (n/2)-1.

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