Dimer lambda_d Expansion, Dimensional Dependence of J_n Kernels
Mathematical Physics
2008-06-12 v1 math.MP
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.
Cite
@article{arxiv.0806.1941,
title = {Dimer lambda_d Expansion, Dimensional Dependence of J_n Kernels},
author = {Paul Federbush},
journal= {arXiv preprint arXiv:0806.1941},
year = {2008}
}
Comments
9 pages, 6 figures