Hydrodynamics of liquids of arbitrarily curved flux lines and vortex loops- art. no. 054518

We derive a hydrodynamic model for a liquid of arbitrarily curved flux line s and vortex loops using the mapping of the vortex liquid onto a liquid of relativistic charged quantum bosons in 2 + 1 dimensions recently suggested by Tesanovic and by Sudbo and collaborators. The loops in the flux-line sys tem correspond to particle-antiparticle fluctuations in the bosons. We expl icitly incorporate the externally applied magnetic field which in the boson model corresponds to a chemical potential associated with the conserved ch arge density of the bosons. We propose this model as a convenient and physi cally appealing starting point for studying the properties of the vortex li quid.