A quantum Hall fluid of vortices View Full Text


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Article Info

DATE

2004-02-25

AUTHORS

David Tong

ABSTRACT

In this note we demonstrate that vortices in a non-relativistic Chern-Simons theory form a quantum Hall fluid. We show that the vortex dynamics is controlled by the matrix mechanics previously proposed by Polychronakos as a description of the quantum Hall droplet. As the number of vortices becomes large, they fill the plane and a hydrodynamic treatment becomes possible, resulting in the non-commutative theory of Susskind. Key to the story is the recent D-brane realisation of vortices and their moduli spaces. More... »

PAGES

046

References to SciGraph publications

  • 2001-10-30. Quantum Hall physics = noncommutative field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-07-06. Finite noncommutative Chern-Simons with a Wilson line and the quantum Hall effect in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-04-07. Quantum Hall states as matrix Chern-Simons theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-07-16. Vortices, instantons and branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 1992-03. Vortex scattering in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/02/046

    DOI

    http://dx.doi.org/10.1088/1126-6708/2004/02/046

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