A Polymer Expansion for the Random Walk on the Permutation Group Associated to the Quantum Heisenberg Ferromagnet
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
For a long time one has associated to the Quantum Heisenberg Ferromagnet on a lattice, a random walk on the permutation group of the lattice vertices. We here present a polymer expansion for the solution of the heat equation coupled to the random walk. We work on a finite lattice, there is no question of convergence. We leave to future work bounding terms in the expansion necessary to extend the result to an infinite lattice.
Keywords
Cite
@article{arxiv.math-ph/0303036,
title = {A Polymer Expansion for the Random Walk on the Permutation Group Associated to the Quantum Heisenberg Ferromagnet},
author = {Paul Federbush},
journal= {arXiv preprint arXiv:math-ph/0303036},
year = {2007}
}
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8 pages