Study of gauge gravity duality via flow equation

2021 Fiscal Year Final Research Report

• Project/Area Number: 19K03847
• 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: Kyoto University
• Principal Investigator: Yokoyama Shuichi 京都大学, 基礎物理学研究所, 特定研究員 (50773389)
• Project Period (FY): 2019-04-01 – 2022-03-31
• Keywords: 双対性 / 場の量子論 / 弦理論 / 一般相対性理論 / 量子重力

Outline of Final Research Achievements

The construction of a theory of quantum gravity is one of the greatest remaining problems in physics in the 21st century. Once a method to realize quantum gravity is clarified, it is expected to lead to the solution of unsolved problems related to black holes and quark confinement.
Gauge-gravity duality using holography, which was proposed in 1997, has been actively studied as a key method to construct quantum gravity. Since then, various methods have been proposed and studied, we studied this problem using a method different from existing methods. As a result, we succeeded in reproducing expected results on the gravity side while overcoming the problems with the existing methods. We also succeeded in overcoming the incomplete part of known definitions of energy, which had been a concern in the general theory of relativity.

Free Research Field

自然科学一般 / 素粒子、原子核、宇宙線、宇宙物理にする理論 /

Academic Significance and Societal Importance of the Research Achievements

本研究により重力の効果が別の異なる理論を粗視化することによって実現されることを強く示唆する結果を得た。これは重力の量子論を構築の確かな足がかりとなるものである。
また本研究を通じて懸案事項であった一般相対性理論におけるエネルギーの定義の問題が解決されたことは、基礎物理学における大きな進展であった。今後天体や宇宙空間における物理量を精密に扱う上で欠かすことのできない基本的な役割を果たすことが期待される。