BSM as Weyl-invariant quantum field theory

2023 Fiscal Year Final Research Report

• Project/Area Number: 21K03539
• 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: University of the Ryukyus
• Principal Investigator: Oda Ichiro 琉球大学, 理学部, 教授 (40265517)
• Project Period (FY): 2021-04-01 – 2024-03-31
• Keywords: ワイル不変性をもつ量子重力理論

Outline of Final Research Achievements

We have studied a Weyl invariant quantum gravity. First of all, we have constructed a quantum gravity with the restricted Weyl symmetry, and then considered a issue of spontaneous symmetry breakdown. In addition to it, we have constructed a globally scale invariant quantum gravity and performed its BRST quantization. We have clarified the a huge global symmetry ISOp(10|10).
Finally, we have made a Weyl invariant quantum gravity, performed its BRST quantization and clarified its physical contents.

Free Research Field

素粒子物理学

Academic Significance and Societal Importance of the Research Achievements

現代の素粒子物理学の重要な未解決な問題の一つに、量子力学と一般相対性理論を結び付けた量子重力理論の構成がある。我々は、特に一般座標変換不変性に加えて、局所的なスケール不変性を持つ量子重力理論を構成した。この理論を土台にして、重力理論の繰り込み可能性の問題の解明がなされる可能性がある。