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We offer the Skyrme model on a lattice as an effective field theory - fullyquantized - of baryon-meson interactions at temperatures below the chiral phasetransition. We define a local topological density that involves the volumes oftetrahedra in the target space S^3 and we make use of Coxeter's formula for theSchlafli function to implement it. This permits us to calculate the mean-squareradius of a skyrmion in the three-dimensional lattice Skyrme model, which maybe viewed as a Ginzburg-Landau effective theory for the full quantum theory atfinite temperature. We find that, contrary to expectations, the skyrmionshrinks as quantum and thermal fluctuations are enhanced. We ascribe this to alarge number of metastable states that become accessible as the temperature israised.Comment: 15 pages RevTeX, 6 figure

Topology and metastability in the lattice Skyrme model