String limit of vortex current algebra

Mauro Spera, Vittorio Penna

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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 spacial 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 illustrates
Original languageEnglish
Pages (from-to)14547-14553
Number of pages7
JournalPHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS
Volume62
Publication statusPublished - 2000

Keywords

  • Quantum vortices, current algebra, quantization procedures

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