论文标题
驯服两场宇宙学模型的红外行为
The infrared behavior of tame two-field cosmological models
论文作者
论文摘要
我们研究了可驯服的两场宇宙学模型的一阶暴露行为，该模型定义为那些经典的两场模型，其标量歧管是连接的，有限的，有限的倍增性的Riemann表面$（σ，\ Mathcal {g}）$，其潜在的潜在的潜在$ $ $ $ $;我们通过确定经典有效潜在$ V $的渐近梯度流的通用形式，相对于均匀的度量$ g $接近所有内部关键点和$σ$的末端，发现后者的某些作用像渐变流的虚构但异国情调的固定点。我们还将这些结果与宇宙轨道的数值研究进行了比较。对于关键的尖端末端，我们发现宇宙学曲线具有短暂的准碘行为，但最终沿主要的测量轨道吸引或排斥由扩展有效潜能确定的主要地球轨道。这种行为在尖端附近的梯度流动曲线的红外近似。
We study the first order infared behavior of tame hyperbolizable two-field cosmological models, defined as those classical two-field models whose scalar manifold is a connected, oriented and topologically finite hyperbolizable Riemann surface $(Σ,\mathcal{G})$ and whose scalar potential $Φ$ admits a positive and Morse extension to the end compactification of $Σ$. We achieve this by determining the universal forms of the asymptotic gradient flow of the classical effective potential $V$ with respect to the uniformizing metric $G$ near all interior critical points and ends of $Σ$, finding that some of the latter act like fictitious but exotic stationary points of the gradient flow. We also compare these results with numerical studies of cosmological orbits. For critical cusp ends, we find that cosmological curves have transient quasiperiodic behavior but are eventually attracted or repelled by the cusp along principal geodesic orbits determined by the extended effective potential. This behavior is approximated in the infrared by that of gradient flow curves near the cusp.
