A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model

Abstract

It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1,1,...,1) interface in the $d$-dimensional quantum Heisenberg model are given by the spectrum of the $d-1$-dimensional Laplacian on an suitable domain.

Latex, 12 pages