Excited Abelian-Higgs vortices: Decay rate and radiation emission,Physical Review D

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Excited Abelian-Higgs vortices: Decay rate and radiation emission
Physical Review D ( IF 4.6 ) Pub Date : 2024-09-12 , DOI: 10.1103/physrevd.110.065009
A. Alonso-Izquierdo _{1,

1} , J. J. Blanco-Pillado _{2,

3,

4} , D. Miguélez-Caballero ₅ , S. Navarro-Obregón ₅ , J. Queiruga _{1,

1}

Affiliation

The evolution of 1 vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum of the 1 vortex fluctuation operator on the model parameter is discussed initially. A perturbative approach is employed to study the radiation emission in both the scalar and the vector channels. Our findings reveal that the oscillating initial configuration of the 1 vortex radiates at a frequency twice that of the internal mode. Through energy conservation considerations, we derive the decay law of the massive mode. Finally, these analytical results are compared with numerical simulations in field theory.

中文翻译：

激发的阿贝尔-希格斯涡旋：衰减率和辐射发射

在阿贝尔-希格斯模型中针对不同范围的自耦合常数，详细研究了 1 涡旋在其大束缚模式被激发时的演化（分析和数值）。首先讨论了1个涡旋涨落算子的谱对模型参数的依赖性。采用微扰方法来研究标量和矢量通道中的辐射发射。我们的研究结果表明，1 涡旋的振荡初始构型的辐射频率是内模频率的两倍。通过能量守恒的考虑，我们推导出质量模式的衰变定律。最后，将这些分析结果与场论中的数值模拟进行比较。

更新日期：2024-09-12

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