A Polymer Expansion for the Random Walk on the Permutation Group Associated to the Quantum Heisenberg Ferromagnet
Federbush, Paul
arXiv, 0303036 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-13
Classification:  Mathematical Physics 
@article{0303036,
     author = {Federbush, Paul},
     title = {A Polymer Expansion for the Random Walk on the Permutation Group
  Associated to the Quantum Heisenberg Ferromagnet},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303036}
}

Federbush, Paul. A Polymer Expansion for the Random Walk on the Permutation Group
  Associated to the Quantum Heisenberg Ferromagnet. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303036/