Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-09
JHEP 0311 (2003) 011
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, LaTeX (JHEP), 1 figure, added references, version accepted to JHEP
Scientific paper
10.1088/1126-6708/2003/11/011
We investigate the spectrum of the gauge theory with Chern-Simons term on the noncommutative plane, a modification of the description of the Quantum Hall fluid recently proposed by Susskind. We find a series of the noncommutative massive ``plane wave'' solutions with polarization dependent on the magnitude of the wave-vector. The mass of each branch is fixed by the quantization condition imposed on the coefficient of the noncommutative Chern-Simons term. For the radially symmetric ansatz a vortex-like solution is found and investigated. We derive a nonlinear difference equation describing these solutions and we find their asymptotic form. These excitations should be relevant in describing the Quantum Hall transitions between plateaus and the end transition to the Hall Insulator.
Alexanian Garnik G.
Arnaudon Daniel
Paranjape M. B.
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