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arxiv: 0804.0164 · v1 · submitted 2008-04-01 · ✦ hep-th · cond-mat.mes-hall

Symanzik's Method Applied To The Fractional Quantum Hall Edge States

classification ✦ hep-th cond-mat.mes-hall
keywords boundaryedgestatesabelianappliedapproachchern-simonscommutation
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In this paper we consider an abelian Chern-Simons theory with plane boundary and we show, following Symankiz's quite general approach, how the known results for edge states in the Laughlin series can be derived in a systematic way by the separability condition. Moreover we show that the conserved boundary currents find a natural and explicit interpretation in terms of the continuity equation and the Tomonaga-Luttinger commutation relation for electronic density is recovered.

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