多卡隆溶液
Multi-Caloron solutions
摘要:
我们讨论了具有非平凡完整性的多重Caloron解的构造,包括近似叠加解和精确自对偶解。电荷kSU(n)模空间可以用kn个组成单极子来描述。精确解帮助我们理解这些成分如何被视为独立的对象,这在近似叠加中似乎是不可能的。“杂质散射”计算提供了相对简单的表达式。像在零温度下的显式参数化需要解决二次ADHM约束,实现了一类轴对称的解决方案。我们将详细讨论这些精确解的性质,但也表明,有趣的结果可以得到没有明确解决的约束。
英文摘要:
We discuss the construction of multi-caloron solutions with non-trivial holonomy, both as approximate superpositions and exact self-dual solutions. The charge k SU(n) moduli space can be described by kn constituent monopoles. Exact solutions help us to understand how these constituents can be seen as independent objects, which seems not possible with the approximate superposition. An "impurity scattering" calculation provides relatively simple expressions. Like at zero temperature an explicit parametrization requires solving a quadratic ADHM constraint, achieved here for a class of axially symmetric solutions. We will discuss the properties of these exact solutions in detail, but also demonstrate that interesting results can be obtained without explicitly solving for the constraint.
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