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arXiv 2104.05271hep-thastro-ph.COgr-qchep-ph
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早期宇宙中强相互作用费米子的宇宙学

Cosmology of strongly interacting fermions in the early universe

Guillem Domènech, Misao Sasaki

摘要:

鉴于人们对早期宇宙中产生原初黑洞的长程标量力越来越感兴趣,我们详细研究了宇宙学中费米气体与标量场相互作用的广义相对论表述。我们的主要发现是,汤川相互作用导致的解决方案,标量场振荡周围的零费米子质量和所有的能量密度衰减的辐射。一方面,我们表明,如果费米气体开始相对论,它可以保持相对论。另一方面,如果费米子一开始是非相对论性的,那么它们在所有的实际用途中仍然是非相对论性的。我们发现,在这两种情况下,费米子和标量场的能量密度作为辐射衰减。在非相对论的情况下,这是由于振荡和衰减的有效质量。这样的背景动力学问题是否有一个实质性的增强费米子密度波动在非相对论性的情况下。我们的工作可以很容易地扩展到更一般的场依赖费米子质量。对宇宙学扰动的分析将在后续工作中提出。

英文摘要:

In view of growing interest in long range scalar forces in the early universe to generate primordial black holes, we study in detail the general relativistic formulation of a Fermi gas interacting with a scalar field in cosmology. Our main finding is that the Yukawa interaction leads to a solution where the scalar field oscillates around zero fermion mass and all energy densities decay as radiation. On one hand, we show that if the Fermi gas starts relativistic, it could stay relativistic. On the other hand, if the fermions are initially non-relativistic, they remain non-relativistic for all practical purposes. We find that in both cases the energy density of the fermions and the scalar field decays as radiation. In the non-relativistic case, this is due to an oscillating and decaying effective mass. Such background dynamics questions whether there is a substantial enhancement of the fermion density fluctuations in the non-relativistic case. Our work can be easily extended to more general field dependent fermion mass. The analysis of the cosmological perturbations will be presented in a follow-up work.

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