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arXiv 2102.06378astro-ph.COgr-qchep-ph
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暴胀的晶格模拟

Lattice Simulations of Inflation

Angelo Caravano, Eiichiro Komatsu, Kaloian D. Lozanov, Jochen Weller

摘要:

宇宙暴胀的标量场理论构成了当今早期宇宙物理学的首选方案之一。在本文中,我们的目的是研究暴胀宇宙利用数值晶格模拟。在过去的几十年里,各种各样的格点代码被编写出来,并被广泛用于低估宇宙的再加热阶段,但它们从来没有被用来研究远离暴胀结束的暴胀阶段本身(即在暴胀结束前大约50个e-折叠)。在本文中,我们使用晶格模拟再现一些简单的单场暴胀模型的著名结果,特别是标量场微扰。我们考虑的主要模型是标准的慢卷暴胀与调和潜在的暴胀场。我们探讨的技术方面,需要考虑到,以精确再现的近尺度不变的暴胀子扰动的功率谱。我们还考虑了阶跃电位的情况下,并表明,模拟是能够正确地再现该模型的功率谱中的振荡功能。即使在这些情况下不需要晶格模拟,也在线性微扰理论的有效范围内,这为将来使用晶格模拟研究更复杂的通货膨胀模型奠定了基础。

英文摘要:

The scalar field theory of cosmological inflation constitutes nowadays one of the preferred scenarios for the physics of the early universe. In this paper we aim at studying the inflationary universe making use of a numerical lattice simulation. Various lattice codes have been written in the last decades and have been extensively used for understating the reheating phase of the universe, but they have never been used to study the inflationary phase itself far from the end of inflation (i.e. about 50 e-folds before the end of inflation). In this paper we use a lattice simulation to reproduce the well-known results of some simple models of single-field inflation, particularly for the scalar field perturbation. The main model that we consider is the standard slow-roll inflation with an harmonic potential for the inflaton field. We explore the technical aspects that need to be accounted for in order to reproduce with precision the nearly scale invariant power spectrum of inflaton perturbations. We also consider the case of a step potential, and show that the simulation is able to correctly reproduce the oscillatory features in the power spectrum of this model. Even if a lattice simulation is not needed in these cases, that are well within the regime of validity of linear perturbation theory, this sets the basis to future work on using lattice simulations to study more complicated models of inflation.

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