Analysis of quantities in hydrodynamic equations on the lattice

2020 Fiscal Year Final Research Report

• Project/Area Number: 17K05442
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Osaka University
• Principal Investigator: Kitazawa Masakiyo 大阪大学, 理学研究科, 助教 (10452418)
• Project Period (FY): 2017-04-01 – 2021-03-31
• Keywords: 格子ゲージ理論 / エネルギー運動量テンソル / 応力 / クォーク・グルーオン・プラズマ

Outline of Final Research Achievements

Among the four interactions in our Universe, the strong interaction that describes dynamics of quarks and gluons is known to be described by Quantum ChromoDynamics (QCD). Dynamics of QCD plays a crucial role in describing phase transitions in the hot and dense media, which are realized in the early Universe and cores of neutron stars.
In the present project, I have performed the first-principle numerical simulations of quantities indispensable for describing these phase transitions such as thermodynamic quantities based on the lattice QCD. In particular, the analysis of energy-momentum tensor using the gradient flow method has been applied to various measurements that are connected to understanding of the phase transitions in hot medium.

Free Research Field

原子核理論

Academic Significance and Societal Importance of the Research Achievements

本研究により、QCDの第一原理数値シミュレーション上でのエネルギー運動量テンソルの直接測定に関する研究が大きく進んだ。これまでの成果で、熱力学量やゆらぎ、非一様圧力、静的クォーク系での応力構造などの測定が実現し、QCDの有限温度相転移や静的クォーク系に関する理解が進んだ。また、本研究によってこれらの測定技術が確立したことにより、これらの技術を用いてハドロン構造を精密解析する将来研究への展望が開けた。