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繰り込み可能かつユニタリーな重力理論の探求:理論的・現象論的観点より

Research Project

Project/Area Number 19F19324
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section外国
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionTokyo Institute of Technology

Principal Investigator

山口 昌英  東京工業大学, 理学院, 教授 (80383511)

Co-Investigator(Kenkyū-buntansha) BUONINFANTE LUCA  東京工業大学, 理学院, 外国人特別研究員
Project Period (FY) 2019-11-08 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2021: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2020: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2019: ¥500,000 (Direct Cost: ¥500,000)
Keywordsgravity / black hole
Outline of Research at the Start

本研究は、一般相対性理論を拡張し、くりこみ可能かつユニタリーである重力理論を構築しようというものです。一般に、2階以上の有階な高階微分を含む非特異な系ではゴースト不安定性が出ると考えられております。一方、Lee-Wick理論においては、運動方程式は6階微分方程式にも関わらず、量子論においてユニタリーであることが知られています。まずは、この系をハミルトン解析等により古典論も含めて徹底的に解析することが最初の目的です。また、つい最近、このLee-Wick理論の非局所版と言える理論が提唱されました。このような系が古典的・量子論的にくりこみ可能かつユニタリーであるかを調べることが第二の目的です。

Outline of Annual Research Achievements

Together with some of his collaborators, he investigated how the property of a topological defect would be changed in non-local theory. As a concrete example, he considers a domain wall and is able to find explicit analytic solutions in some regime and/or perturbatively despite the complexity of non-linear infinite-order differential equations. From the stress-energy tensor, he estimates the energy density, and shows that nonlocal effects make the width of the domain wall thinner, and the energy per unit area smaller as compared to the local case.
Together with some of his collaborators, under very reasonable assumptions, he derived quantum-gravitational corrections to the famous Bekenstein bound which limits the amount of energy/information that can be stored inside a certain radius.

Research Progress Status

令和3年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和3年度が最終年度であるため、記入しない。

Report

(3 results)
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (5 results)

All 2022 2021 2020

All Journal Article (4 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (1 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Bekenstein bound and uncertainty relations2022

    • Author(s)
      Luca Buoninfante, Giuseppe Gaetano Luciano, Luciano Petruzziello, Fabio Scardigli
    • Journal Title

      Phys. Lett. B

      Volume: 824 Pages: 136818-136818

    • DOI

      10.1016/j.physletb.2021.136818

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Maximal acceleration, reciprocity & nonlocality2021

    • Author(s)
      Luca Buoninfante
    • Journal Title

      Int. J. Mod. Phys. D

      Volume: 30 Issue: 14 Pages: 2142012-2142012

    • DOI

      10.1142/s0218271821420128

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Echoes from corpuscular black holes2020

    • Author(s)
      Buoninfante Luca
    • Journal Title

      Journal of Cosmology and Astroparticle Physics

      Volume: 2020 Issue: 12 Pages: 041-041

    • DOI

      10.1088/1475-7516/2020/12/041

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized ghost-free propagators in nonlocal field theories2020

    • Author(s)
      Luca Buoninfante, Gaetano Lambiase, Yuichi Miyashita, Wataru Takebe, Masahide Yamaguchi
    • Journal Title

      Physical Review D

      Volume: 101 Issue: 8 Pages: 84019-84019

    • DOI

      10.1103/physrevd.101.084019

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Aspects of ghost-free nonlocal field theories2020

    • Author(s)
      Luca Buoninfante
    • Organizer
      KIAS and NRF-JSPS Workshop on Particle, String and Cosmology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited

URL: 

Published: 2019-11-29   Modified: 2024-03-26  

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