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
Penna, V., Spera, M., String limit of vortex current algebra, <<PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS>>, 2000; 62 (21): 14547-14553 [http://hdl.handle.net/10807/35980]
String limit of vortex current algebra
Spera, Mauro
2000
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 illustratesI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.