论文标题
具有不对称标量双线的退化标量费仪的统计系统的宇宙学演变。 ii。双重充电费米子的一个组件系统
Cosmological evolution of a statistical system of degenerate scalar charged fermions with an asymmetric scalar doublet. II. One-component system of doubly charged fermions
论文作者
论文摘要
基于统计系统的先前配制的数学模型，该模型具有fermions的标量相互作用，这是一个基于双重标量量表的退化费米的单组分统计系统，与不对称标量型二倍型式典型和幻影标量量表相互作用。研究了所提出的模型与先前研究的模型基于一个组件和两组分的费米昂系统的连接。研究了宇宙学模型的渐近和限制特性，这表明在所有模型中，有一类具有有限寿命的模型。研究了相应奇点附近模型的渐近行为，对相应的动力系统进行了定性分析，并构建了此类模型的数值实现。基于数值积分，可以表明，在提出的模型中，可以从稳定的渐近真空状态进行过渡，具有零规范场和恒定幻影场，对应于宇宙学阶段，向对称与扩展阶段相对应的对称状态。相之间的过渡的时间间隔伴随着规范标量场的振荡。
Based on the previously formulated mathematical model of a statistical system with scalar interaction of fermions, a cosmological model based on a one-component statistical system of doubly scalar charged degenerate fermions interacting with an asymmetric scalar doublet-canonical and phantom scalar fields-is studied. The connection of the presented model with previously studied models based on one-component and two-component fermion systems is investigated. The asymptotic and limiting properties of the cosmological model are investigated, it is shown that among all models there is a class of models with a finite lifetime. The asymptotic behavior of models near the corresponding singularities is investigated, a qualitative analysis of the corresponding dynamical system is carried out, and numerical implementations of such models are constructed. Based on numerical integration, it is shown that in the presented model there can be transitions from a stable asymptotically vacuum state with a zero canonical field and a constant phantom field corresponding to the phase of cosmological compression to a symmetric state corresponding to the expansion phase. The time interval of the transition between phases is accompanied by oscillations of the canonical scalar field.
