论文标题
de Sitter中的相变：随机形式主义
Phase transitions in de Sitter: The stochastic formalism
论文作者
论文摘要
随机光谱膨胀方法为DE Sitter PaceTime提供了一个简单的框架。我们展示了如何将其覆盖范围扩展到亚稳态真空状态，这是在电势从下方界定的情况下以及从下方不受限的情况下，因此不存在稳定的真空状态。在这两种情况下，亚稳态真空的衰减速率均由与Fokker-Planck方程相关的最低非零特征值给出。我们展示了相应的特征功能如何确定可用于计算亚稳态真空状态下相关函数和其他可观察物的场概率分布。
The stochastic spectral expansion method offers a simple framework for calculations in de Sitter spacetimes. We show how to extend its reach to metastable vacuum states, both in the case when the potential is bounded from below, and when it is unbounded from below and therefore no stable vacuum state exists. In both cases, the decay rate of the metastable vacuum is given by the lowest non-zero eigenvalue associated to the Fokker-Planck equation. We show how the corresponding eigenfunction determines the field probability distribution which can be used to compute correlation functions and other observables in the metastable vacuum state.
