The Noncommutative Ward Metric

被引:1
作者
Lechtenfeld, Olaf [1 ,2 ]
Maceda, Marco [3 ]
机构
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[2] Leibniz Univ Hannover, Ctr Quantum Engn & Space Time Res, D-30167 Hannover, Germany
[3] UAM Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico
关键词
noncommutative geometry; CP1 sigma model; SOLITONS; MODEL; SCATTERING; DYNAMICS;
D O I
10.3842/SIGMA.2010.045
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1 + 2 dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative Kahler 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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页数:14
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