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arXiv 2604.01005hep-th
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二维空间中Skyrme-Chern-Simons模型中的激发解

Excited solutions in a Skyrme--Chern-Simons model in $2+1$ dimensions

Universidad Complutense de Madrid(马德里康普顿斯大学);Dublin Institute for Advanced Studies(都柏林高等研究院);Maynooth University(梅努斯大学)

Francisco Navarro-Lérida, D. H. Tchrakian

AI总结:

研究二维空间中Skyrme-Chern-Simons理论中的激发解,强调使用拉格朗日乘子法克服参数化不连续性,分析全局电荷依赖性及能量级模式。

摘要:

我们研究了二维空间中Skyrme-Chern-Simons理论中的激发解。特别强调,由于使用约束相容参数化时会出现不连续性,必须使用拉格朗日乘子法来获得激发解。这些解由整数$p$表征,$p\neq 0$对应激发解。分析了全局电荷对参数的依赖性,显示出非标准行为。我们还发现,Skyrme-Chern-Simons项对能级模式影响不大,因此$p=0$解(基本解)始终具有最低能量。

英文摘要:

We study excited solutions in a Skyrme--Chern-Simons theory in $2+1$ dimensions. In particular, we emphasize the necessity of using a Lagrange multiplier method to obtain excited solutions, due to the appearance of a discontinuity when using a constraint compliant parametrization. These solutions are characterized by an integer number $p$, excited solutions corresponding to $p\neq 0$. The dependence of the global charges on the parameters is analyzed, showing non-standard behaviors. We also find that the presence of the Skyrme--Chern-Simons term does not alter significantly the pattern of energy levels, so $p=0$ solutions (fundamental solutions) have always the minimal energy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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