Noncommutative field theory description of quantum Hall skyrmions

Details Noncommutative field theory description of quantum Hall skyrmions Noncommutative field theory description of quantum Hall skyrmions

2001-05-14

arxiv.org/abs/hep-th/0105127v2

Phys.Rev. D64 (2001) 085014

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Revtex, more references added in

Scientific paper

10.1103/PhysRevD.64.085014

We revisit the quantum Hall system with no Zeeman splitting energy using the noncommutative field theory. We analyze the BPS condition for the delta-function interaction near the filling factor $\nu=1$. Multi-skyrmions are shown to saturate the BPS bounds. The dimension of the moduli space of $k$ skyrmions is $4k+2$. Advantage of the noncommutative field description is demonstrated through the derivation of the effective nonlinear $\sigma$ model Lagrangian.

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