Exploring early universe using dynamical statistical analysis of the large-scale structure of the universe

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K03835
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
• Research Institution: High Energy Accelerator Research Organization
• Principal Investigator: Matsubara Takahiko 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 教授 (00282715)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: 宇宙の大規模構造 / 統計解析理論 / 初期非ガウス性 / ミンコフスキー汎函数 / 非線形摂動論 / 銀河バイアス / ピーク統計

Outline of Final Research Achievements

We have obtained many new theoretical insights by considering various methods of dynamical statistical analysis in the large-scale structure of the universe. By incorporating knowledge in the field of statistics and probability theory of mathematics, we succeeded in deriving a general formula for perturbative prediction for non-Gaussian scalar fields, and compared it with simulations of the large-scale structure of the universe, paving the way for practical applications. By comparing it with simulations of the large-scale structure of the universe, he paved the way for real-world applications. He also developed an analytical method for perturbative evaluation of the effect of non-Gaussianity on the peak statistics for density fields in the universe, and a new method for treating dynamical perturbative evolution of tensor fields.

Free Research Field

宇宙論、宇宙物理学

Academic Significance and Societal Importance of the Research Achievements

宇宙の大規模構造の解析において必須となる統計解析手法において、宇宙の力学進化による非線形成長や天体バイアスの非線形関係を包括的に取り入れた理論手法を多面的に開発することができたため、これを実際の宇宙構造解析に応用することで当該分野の研究における将来的な可能性を大きく広げることができた。宇宙の全体構造は社会・国民の興味を広くひいており、私たちの起源や将来を考える上でもその知見は重要なピースである。