在WKB近似下Taub宇宙中量子各向异性的动力学
Dynamics of quantum anisotropies in a Taub Universe in the WKB approximation
摘要：
在宇宙体积和标量场均处于准经典近似的极限下，分析了存在无质量最小耦合标量场和宇宙学常数的陶布宇宙学模型的动力学行为。换句话说，我们研究的动力学量子小各向异性演化的de Sitter背景下，在存在的动力学项的暴胀子场。我们证明了量子各向异性在宇宙膨胀过程中呈指数衰减，接近一个有限的小值。这一结果表明，宇宙在德西特阶段的量子各向同性比相应的经典演化要弱得多，有利于一定程度的各向异性在德西特阶段的生存。最后，我们分析的情况下，也被认为是量子变量的标量场，通过显示它的方差自然传播，因为没有潜在的长期显着影响其动态。这种行为的结果是不同的各向异性，受到来自空间曲率的潜力。
英文摘要：
We analyze the dynamics of a Taub cosmological model in the presence of a massless minimally coupled scalar field and a cosmological constant, in the limit when both the Universe volume and the scalar field live in a quasi-classical approximation. By other words, we study the dynamics of a quantum small anisotropy evolving on a de Sitter background and in the presence of a kinetic term of the inflaton field. We demonstrate that the quantum anisotropy exponentially decays during the Universe expansion, approaching a finite and small value. This result suggests that the quantum isotropization of the Universe during a de Sitter phase is much weaker than the corresponding classical evolution, favouring the survival of certain degree of anisotropy to the de Sitter phase. Finally we analyze the case when also the scalar field is considered as quantum variable, by showing how its variance naturally spreads because of no potential term significantly affects its dynamics. This behaviour results to be different from the anisotropy which is subjected to the potential coming out from the spatial curvature.
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