Abstract
We introduce a new stochastic representation of the partition function of the spin 1/2 Heisenberg ferromagnet. We express some of the relevant thermodynamic quantities in terms of expectations of functionals of so-called random stirrings onℤ d. By use of this representation, we improve the lower bound on the pressure given by Conlon and Solovej inLett. Math. Phys. 23, 223–231 (1991).
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Work supported by the Hungarian National Foundation for Scientific Research, grant No. 1902.