Abstract

A mathematical model is formulated for the evolution of plane perturbations in the cosmological statistical system of completely degenerate scalarly charged fermions with Higgs scalar interaction for short-wave perturbations. These disturbance modes have been found and investigated. It is shown that in such a model an additional oscillation mode arises, which is associated directly with degenerate fermions, in which there exist monotonically decreasing and increasing perturbations. In this case, there is such a time instant in the system that the potential of the scalar field, together with the energy density, tends to infinity. In this regard, an assumption is made on a possible mechanism for the formation of dark matter condensates.

中文翻译：

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退化标量带电费米子和希格斯标量场的宇宙系统的稳定性。二。短波扰动的演变

摘要

建立了一个数学模型，用于在完全退化的带有希格斯标量相互作用的短波扰动的标量带电荷费米子的全宇宙统计系统中，平面扰动的演化。已经找到并研究了这些干扰模式。结果表明，在这种模型中，出现了一个附加的振荡模式，该模式直接与简并的费米子有关，在费米子中，单调地减少和增加了扰动。在这种情况下，系统中存在一个瞬间，使得标量场的电势与能量密度一起趋于无穷大。在这方面，对暗物质冷凝物形成的可能机理进行了假设。