Lattice Green functions of the higher-dimensional face-centered cubic lattices
Lattice Green functions of the higher-dimensional face-centered cubic lattices
We study the face-centered cubic (fcc) lattice in up to six dimensions. In particular, we are concerned with lattice Green functions (LGFs) and return probabilities. Computer algebra techniques, such as the method of creative telescoping, are used for deriving an ODE for a given LGF. For the four- and five-dimensional …