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SIGMA, 2010, Volume 6, 045, 14 pages (Mi sigma502)  

This article is cited in 1 scientific paper (total in 1 paper)

The Noncommutative Ward Metric

O. Lechtenfeldab, M. Macedac

a Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany
b Centre for Quantum Engineering and Space-Time Research, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
c Departamento de Fisica, UAM-Iztapalapa, A.P. 55-534, C.P. 09340, México D.F., México

Abstract: We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed $\mathbb CP^1$ sigma model in $1+2$ dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative Kähler potential is expanded in powers of dimensionless moduli. In two special cases we sum the perturbative series to analytic expressions. For any nonzero value of the noncommutativity parameter, the logarithmic singularity of the commutative metric is expelled from the origin of the moduli space and possibly altogether.

Keywords: noncommutative geometry; $\mathbb C P^1$ sigma model

DOI: https://doi.org/10.3842/SIGMA.2010.045

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Full text: http://emis.mi.ras.ru/journals/SIGMA/2010/045/
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Bibliographic databases:

ArXiv: 1001.3416
MSC: 46L55; 81R60; 81T75
Received: January 31, 2010; in final form May 27, 2010; Published online June 2, 2010
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Citation: O. Lechtenfeld, M. Maceda, “The Noncommutative Ward Metric”, SIGMA, 6 (2010), 045, 14 pp.

Citation in format AMSBIB
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\by O.~Lechtenfeld, M.~Maceda
\paper The Noncommutative Ward Metric
\jour SIGMA
\yr 2010
\vol 6
\papernumber 045
\totalpages 14
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\crossref{https://doi.org/10.3842/SIGMA.2010.045}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896062323}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Maceda, M, “Fuzzy Physics: A Brief Overview of Noncommutative Geometry in Physics”, AIP Conference Proceedings, 1396, 2011  crossref  zmath  scopus
  • Symmetry, Integrability and Geometry: Methods and Applications
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