标题： 非交换Ward度规的变形 显示英文标题

标题： Noncommutative deformation of the Ward metric

摘要： 分析了(1+2)维Moyal变形CP^1 sigma模型中静态非阿贝尔电荷二阶子空间中的模空间度规。在回顾了Ward和Ruback的交换结果以及第二作者关于非交换Kähler势的zeta正则化构造之后，给出了该势在模空间不同区域的显式表达式及其渐近行为，并进行了讨论。沿着模空间中的两条曲线，势能可以解析计算。在被称为“环状”的孤立子区域，使用微扰理论；而在被称为“团状”的孤立子区域，同时使用微扰理论和zeta函数方法。虽然强非交换极限是平滑且可控的，但在双团区域的交换极限仍然是一个半经典挑战。 显示英文摘要

摘要： The moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP^1 sigma model in 1+2 dimensions is analyzed. After recalling the commutative results of Ward and Ruback and the zeta-regularized construction of the noncommutative K"ahler potential due to the second author, explicit expressions and asymptotics for it are presented and discussed in different regions of the moduli space. Along two curves in the moduli space the potential can be calculated analytically. In the region of solitons known as "ring-like", perturbation theory is used. In the region of "lump-like" solitons, both perturbation theory and the zeta-function approach are employed. While the strong noncommutativity limit is smooth and under control, the commutative limit in the two-lump region remains a semiclassical challenge.