Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices

Abstract

We study the lattice Green’s functions of the face-centered cubic lattice (fcc) in up to six dimensions. We give computer algebra proofs of results that were conjectured by Guttmann and Broadhurst for the fourand fivedimensional fcc lattices. Additionally we derive a differential equation for the lattice Green’s function of the six-dimensional fcc lattice… (More)
DOI: 10.1088/1751-8113/46/12/125005
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@article{Koutschan2011LatticeGF, title={Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices}, author={Christoph Koutschan}, journal={CoRR}, year={2011}, volume={abs/1108.2164} }