Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-08-02
Phys.Rev. D62 (2000) 114020
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages RevTeX, 6 figures
Scientific paper
10.1103/PhysRevD.62.114020
We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of tetrahedra in the target space S^3 and we make use of Coxeter's formula for the Schlafli function to implement it. This permits us to calculate the mean-square radius of a skyrmion in the three-dimensional lattice Skyrme model, which may be viewed as a Ginzburg-Landau effective theory for the full quantum theory at finite temperature. We find that, contrary to expectations, the skyrmion shrinks as quantum and thermal fluctuations are enhanced. We ascribe this to a large number of metastable states that become accessible as the temperature is raised.
Schramm Alec J.
Svetitsky Benjamin
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