Properties of Quantum Fields in de Sitter

德西特量子场的性质

• 批准号: 2444441
• 金额: --
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2444441
• 关键词: Properties; Quantum; Fields; de; Sitter

We analyse the consequences of euclidean conformal symmetry on correlation functions of theories in spacetimes undergoing accelerated expansion. We consider the spectra of quantum mechanical states in field theories on a fixed de Sitter (dS) background, as well as possible extensions and connections to gravitational fluctuations in asymptotic de Sitter. We elucidate the construction of massive Fermionic fields in dS in any dimension using embedding space methods, with analysis of the Wightman propagator. We then analyse field theoretic models which include states transforming in discrete series representations in their Hilbert space. Led by the observation that these representations are unitary and irreducible in dS. We consider the consequences of constraints to dynamical results for these models, as well as the impact of their contact terms appearing in late time gravitational observables. We work primarily in 2 dimensions and hope to extend our analysis to analogous series of representations in higher dimensional dS. This analysis of the spectra of de Sitter states is hoped to further clarify the properties of models which might exhibit the dS/CFT correspondence.

我们分析了欧几里得共形对称对加速膨胀时空中理论相关函数的影响。我们考虑了固定德西特背景下场论中量子力学态的谱，以及在渐近德西特背景下与引力涨落的可能扩展和联系。我们用嵌入空间方法阐述了任意维空间中大量费米子场的构造，并对Wightman传播子进行了分析。然后，我们分析了在希尔伯特空间中以离散级数表示变换的状态的场理论模型。通过观察这些表示在dS中是酉的和不可约的。我们考虑了约束对这些模型动力学结果的影响，以及它们的接触项出现在晚时间引力观测值中的影响。我们主要在二维空间中工作，并希望将我们的分析扩展到高维空间中类似的一系列表示。对德西特态谱的分析有望进一步阐明可能表现出dS/CFT对应的模型的性质。