Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory | Zendy

Jules Lambert | Zendy; M. B. Paranjape | Zendy

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Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory

Author(s) -

Jules Lambert,

M. B. Paranjape

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/007

Subject(s) - chern–simons theory , noncommutative geometry , physics , vorticity , mathematical physics , maxwell's equations , magnetic flux , noncommutative quantum field theory , spectrum (functional analysis) , boundary (topology) , magnetic field , charge (physics) , quantum electrodynamics , quantum mechanics , gauge theory , vortex , mathematical analysis , mathematics , thermodynamics

We study Maxwell-Chern-Simons theory in 2 noncommutative spatial dimensionsand 1 temporal dimension. We consider a finite matrix model obtained by addinga linear boundary field which takes into account boundary fluctuations. Thepure Chern-Simons has been previously shown to be equivalent to the Laughlindescription of the quantum Hall effect. With the addition of the Maxwell term,we find that there exists a rich spectrum of excitations including solitonswith nontrivial "magnetic flux" and quasi-holes with nontrivial "charges",which we describe in this article. The magnetic flux corresponds to vorticityin the fluid fluctuations while the charges correspond to sources of fluidfluctuations. We find that the quasi-hole solutions exhibit a gap in thespectrum of allowed charge.Comment: 19+1 pages, 12 figures, colour graphics required, version publishe

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