Effiicient estimation of higher-order correlation functions from Inflation.

从通货膨胀中有效估计高阶相关函数。

• 批准号: 1936310
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1936310
• 关键词: Effiicient; estimation; higher; order; correlation

The PhD project will advance the confrontation between early universe theory and observational cosmology by accurately calculating higher-order correlation functions from inflationary models. Using separable eigenfunction ("modal") methods pioneered for studying the three-point correlator (or bispectrum) in the cosmic microwave sky, this project will apply this methodology to the dynamical evolution of perturbations during inflation using the quantum field theory "in-in" formalism. The efficient calculation of precise bispectrum shapes in separable form is convenient for data analytic searches for non-Gaussian statistics. The methodology will be developed from simple examples with single-field inflation to multiple field and periodic inflation models where distinct non-Gaussian signals are anticipated. Direct comparison with observational data sets, such as cosmic microwave background maps and galaxy surveys, will guide and constrain the understanding of inflation in fundamental physics.

博士项目将通过精确计算暴胀模型的高阶相关函数，推进早期宇宙理论与观测宇宙学之间的对抗。使用可分离特征函数（“模态”）方法，率先研究宇宙微波天空中的三点相关器（或双谱），该项目将使用量子场理论“in-in”形式主义，将这种方法应用于暴胀期间扰动的动态演变。可分形式的精确双谱形状的高效计算，为非高斯统计量的数据分析搜索提供了方便。该方法将从单场膨胀的简单示例发展到多场和周期膨胀模型，其中预期不同的非高斯信号。与观测数据集的直接比较，如宇宙微波背景图和星系调查，将指导和限制对基础物理学中暴胀的理解。

项目成果

Connecting Inflation to Observations Through the Bispectrum

通过双谱将通货膨胀与观察结果联系起来

• DOI: 10.17863/cam.87014
• 发表时间: 2022
• 作者: Clarke P