Supersymmetric dimer Hamiltonian for lattice branched polymers
- 1 September 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 28 (3) , 1893-1895
- https://doi.org/10.1103/physreva.28.1893
Abstract
A supersymmetric monomer-dimer Hamiltonian is constructed by the assignment of coupled commuting and anitcommuting variables to each lattice site. The resulting super-Hamiltonian generates lattice branched polymer configurations. This relation holds for any value of the fugacity above the critical point and at all dimensions. Although this does not yet prove dimensional reduction beyond perturbation theory, it does provide strong support for its validity for these models in any dimension.Keywords
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