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arXiv 2407.20409gr-qchep-th
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作为额外维度紧化结果的自发对称性破缺

Spontaneous symmetry breaking as a result of extra dimensions compactification

Dmitry Chirkov, Alex Giacomini, Alexey Toporensky, Petr Tretyakov

AI总结:

本文研究 Einstein-Gauss-Bonnet 宇宙学紧化场景中标量场的动力学,发现与曲率非最小耦合的标量场在额外维度影响下会偏离势能最小值,稳定于非零点,从而实现有效的自发对称性破缺。

摘要:

我们考虑 Einstein-Gauss-Bonnet 宇宙学紧化场景中标量场的动力学。结果表明,如果该场与曲率非最小耦合,在某些条件下其渐近值可能偏离其势能的最小值。这意味着由于额外维度的影响,具有 $λϕ^4$ 势能的标量场能够稳定在偏离 $ϕ=0$ 稳定点处,这意味着此类系统中发生了有效的对称性破缺。

英文摘要:

We consider dynamics of a scalar field in compactification scenario of Einstein-Gauss-Bonnet cosmology. It is shown that if the field is non-minimally coupled to curvature, its asymptotic value under certain conditions may be shifted from the minimum of its potential. This means that due to influence of extra dimensions a scalar field with $λϕ^4$ potential can stabilise away from $ϕ=0$ stable point which means an effective symmetry breaking occurs in such a system.

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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