Skyrme-Chern-Simons 动力学对 2+1 维测量 Skyrmions 的影响

IF 2 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI:10.1088/1751-8121/ad61d4

Francisco Navarro-Lérida, Eugen Radu and D H Tchrakian

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引用次数: 0

摘要

我们研究了SO(2)测量O(3)西格玛模型在维度上存在Skyrme-Chern-Simons（SCS）项时的Skyrmion，并将其性质与存在通常的Chern-Simons（CS）项时的Skyrmion的相应性质进行了比较。我们发现，这两种情况下的性质大体相似，这意味着在更高的维度上，最重要的是在没有定义 CS 项的维度上，也可以用 SCS 密度来替代 CS 项。这里采用的SCS密度是根据一对规量场和一个辅助的O(5) Skyrme标量定义的，它被收缩为一个有效的O(3) Skyrme标量。从技术上讲，这项研究将这些方法映射到了更高维度的例子中。

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The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2+1 dimensions

We study the Skyrmion of the SO(2) gauged O(3) sigma model in dimensions in the presence of a Skyrme–Chern–Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern–Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, in dimensions. The SCS density employed here is defined in terms of the pair of gauge fields and an auxiliary O(5) Skyrme scalar, which is contracted to an effective O(3) Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.

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来源期刊

Journal of Physics A: Mathematical and Theoretical 物理-物理：数学物理

CiteScore

4.10

自引率

14.30%

发文量

542

审稿时长

1.9 months

期刊介绍： Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.