The Noncommutative Ward Metric

Details The Noncommutative Ward Metric The Noncommutative Ward Metric

2010-01-20

arxiv.org/abs/1001.3416v3

SIGMA 6 (2010), 045, 14 pages

Physics

High Energy Physics

High Energy Physics - Theory

v2: improved computation of deformed K"ahler potential (section 6), additional material and refs.; v3: published version

Scientific paper

10.3842/SIGMA.2010.045

We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP^1 sigma model in 1+2 dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative K"ahler 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.

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