Some topological issues for ferromagnets and fluids

Details Some topological issues for ferromagnets and fluids Some topological issues for ferromagnets and fluids

2003-09-09

arxiv.org/abs/hep-th/0309087v1

Nucl.Phys. B676 (2004) 659-675

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 19 pages

Scientific paper

10.1016/j.nuclphysb.2003.10.032

We analyze the canonical structure of a continuum model of ferromagnets and clarify known difficulties in defining a momentum density. The moments of the momentum density corresponding to volume-preserving coordinate transformations can be defined, but a nonsingular definition of the other moments requires an enlargement of the phase space which illuminates a close relation to fluid mechanics. We also discuss the nontrivial connectivity of the phase space for two and three dimensions and show how this feature can be incorporated in the quantum theory, working out the two-dimensional case in some detail.

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