27 research outputs found
On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
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.Comment: 17 pages, LaTeX (JHEP), 1 figure, added references, version accepted
to JHE