Dimer lambda_d Expansion, Dimensional Dependence of J_n Kernels

Details Dimer lambda_d Expansion, Dimensional Dependence of J_n Kernels Dimer lambda_d Expansion, Dimensional Dependence of J_n Kernels

2008-06-11

arxiv.org/abs/0806.1941v1

Physics

Mathematical Physics

9 pages, 6 figures

Scientific paper

In previous papers an asymptotic expansion for the dimer lambda_d of the form
lambda_d ~ (1/2)ln(2d) - 1/2 + c_1/d + c_2/d^2 ... was developed. Kernels J_n
were a key ingredient in the theory. Herein we prove J_n are of the form J_n =
C_r/d^r + C_(r+1)/d^(r+1) + ... + C_(n-1)/d^(n-1) with r > (n/2)-1.

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