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arXiv 1706.07071hep-th
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量子稳定化刺猬型宇宙弦

Quantum stabilization of a hedgehog type of cosmic string

M. Quandt, N. Graham, H. Weigel

AI总结:

本研究在电弱标准模型简化版中,通过费米子量子涨落稳定化刺猬型宇宙弦,发现其与尼尔森-奥尔森构型不同,含赝标量场,并探讨了稳定参数空间及现象学意义。

摘要:

在电弱标准模型的一个略微简化版本中,我们研究了费米子量子涨落对宇宙弦的稳定化作用。先前关于量子能量的研究考虑了嵌入电弱规范群中的尼尔森-奥尔森轮廓变体,并表明当希格斯真空期望值在弦芯附近下降且规范场被抑制时,构型受到青睐。这项工作发现,最强的束缚来自与尼尔森-奥尔森构型显著不同的弦,这些弦基本上只变形希格斯场,以产生强吸引而不引入大梯度。扩展这一分析,我们考虑了刺猬型弦每单位长度能量的领头阶量子修正,与尼尔森-奥尔森构型相比,该构型包含一个赝标量场。为了采用谱方法,我们发展了在刺猬弦背景下费米子的散射和束缚态问题。束缚态能级的显式占据导致弦携带束缚费米子的量子数。我们讨论了稳定刺猬型宇宙弦出现的参数空间,并反思了这些发现的现象学后果。

英文摘要:

Within a slightly simplified version of the electroweak standard model we investigate the stabilization of cosmic strings by fermion quantum fluctuations. Previous studies of quantum energies considered variants of the Nielsen-Olesen profile embedded in the electroweak gauge group and showed that configurations are favored for which the Higgs vacuum expectation value drops near the string core and the gauge field is suppressed. This work found that the strongest binding was obtained from strings that differ significantly from Nielsen-Olesen configurations, deforming essentially only the Higgs field in order to generate a strong attraction without inducing large gradients. Extending this analysis, we consider the leading quantum correction to the energy per unit length of a hedgehog type string, which, in contrast to the Nielsen-Olesen configuration, contains a pseudoscalar field. To employ the spectral method we develop the scattering and bound state problems for fermions in the background of a hedgehog string. Explicit occupation of bound state levels leads to strings that carry the quantum numbers of the bound fermions. We discuss the parameter space for which stable, hedgehog type cosmic strings emerge and reflect on phenomenological consequences of these findings.

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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