- 08-110 Paul Federbush
- Dimer lambda Expansion, Dimension Dependence of J_n Kernels
(151K, LaTeX and a pdf file of figures)
Jun 12, 08
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Abstract. 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.