On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
作者： Garnik Alexanian , Manu B Paranjape , Daniel Arnaudon
DOI: 10.1088/1126-6708/2003/11/011
关键词: Physics 、 Mathematical physics 、 Ansatz 、 Quantization (physics) 、 Noncommutative geometry 、 Chern–Simons theory 、 Quantum Hall transitions 、 Gauge theory 、 Noncommutative quantum field theory 、 Quantum Hall effect
摘要: We investigate the spectrum of gauge theory with Chern-Simons term on noncommutative plane, a modification description Quantum Hall fluid recently proposed by Susskind. find series massive ``plane wave'' solutions polarization dependent magnitude wave-vector. The mass each branch is fixed quantization condition imposed coefficient term. For radially symmetric ansatz vortex-like solution found and investigated. derive nonlinear difference equation describing these we their asymptotic form. These excitations should be relevant in transitions between plateaus end transition to Insulator.
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