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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Decomposing instantons in two dimensions
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Decomposing instantons in two dimensions

机译:二维分解实例

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摘要

We study the Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the (1+1)- dimensional N = (2, 2) supersymmetric U(1) gauged double strok C Sign P ~1 nonlinear sigma model.We use the moduli matrix approach to analytically construct the moduli space of solutions and solve numerically the BPS equations. We identify two topologically inequivalent types of magnetic vortices, which we call S and N vortices. Moreover, we discuss their relation to instantons (lumps) present in the ungauged case. In particular, we describe how a lump is split into a couple of component S-N vortices after gauging. We extend this analysis to the case of the extended Abelian Higgs model with two flavors, which is known to admit semi-local vortices. After gauging the relative phase between fields, semi-local vortices are also split into component vortices. We discuss interesting applications of this simple set-up. Firstly, the gauging of nonlinear sigma models reveals a semiclassical 'partonic' nature of instantons in 1+1 dimensions. Secondly, weak gauging provides for a new interesting regularization of the metric of semi-local vortices.
机译:我们在(1 + 1)维N =(2,2)超对称U(1)尺寸的双行程C符号P〜1非线性sigma模型中研究Bogomol'nyi-Prasad-Sommerfeld(BPS)旋涡。模矩阵法可解析地构造解的模空间,并用数值方法求解BPS方程。我们确定了磁涡旋的两种拓扑不等式,我们称其为S和N涡旋。此外,我们讨论了它们与未打开案例中存在的瞬间(团块)的关系。特别是,我们描述了如何在测量后将团块分成几个分量S-N涡旋。我们将此分析扩展到具有两种口味的扩展Abelian Higgs模型的情况,已知这两种口味可以接受半局部漩涡。在测量场之间的相对相位之后,半局部涡旋也被分解为分量涡旋。我们讨论了此简单设置的有趣应用。首先,非线性sigma模型的度量揭示了1 + 1维瞬时子的半经典“ partonic”性质。其次,弱测量为半局部涡旋度量提供了一种有趣的新正则化方法。

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