Abstract
The authors obtain an upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet. The zero field bound is, at low temperature, similar to the formula given by the magnon approximation. That is, its functional dependence on temperature is the same but the constant is different.
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Work partially supported by U.S. National Science Foundation grants DMS 9196047 (JGC) and DMS 9002416 (JPS).