Toth Balint Improved Lower Bound on the Thermodynamic Pressure of the Spin 1/2 Heisenberg Ferromagnet (27K, TeX) 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 on $\Bbb Z^d$. By use of this representation we improve the lower bound on the pressure given by Conlon and Solovej in [CS2].