String Limit of Vortex Current Algebra

Details String Limit of Vortex Current Algebra String Limit of Vortex Current Algebra

2000-12-21

arxiv.org/abs/cond-mat/0012406v1

Phys. Rev. B 62, 14547 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages

Scientific paper

10.1103/PhysRevB.62.14547

The Poisson structure generating the hamiltonian dynamics of string vortices is reconstructed within the current algebra picture as a limiting case of the standard brackets associated to fluids with a smooth vorticity field. The approach implemented bypasses the use of Dirac's procedure. The fine structure of the dynamical algebra is derived for planar fluids by implementing an appropriate spatial fragmentation of the vorticity field, and the limit to the point vortex gas is effected. The physical interpretation of the resulting local currents is provided. Nontrivial differences characterizing the canonical quantization of point vortices and the current algebra quantization are also illustrated.

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