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Physical Review D
Article
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Physical Review D
Article . 2001 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
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Noncommutative field theory description of quantum Hall Skyrmions

Authors: Lee, Bum-Hoon; Moon, Kyungsun; Rim, Chaiho;

Noncommutative field theory description of quantum Hall Skyrmions

Abstract

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 $��=1$. 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 $��$ model Lagrangian.

23 pages, Revtex, more references added in

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Keywords

High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
Green
bronze