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2022 Fiscal Year Annual Research Report

アノマリーマッチングに基づくゲージ理論と相構造の非摂動的研究

Research Project

Project/Area Number 21J20877
Allocation TypeSingle-year Grants
Research InstitutionThe University of Tokyo

Principal Investigator

陳 実  東京大学, 理学系研究科, 特別研究員(DC1)

Project Period (FY) 2021-04-28 – 2024-03-31
KeywordsGeneralized symmetry / Non-invertibility / Defect operator / Topological soliton / Color confinement / Imaginary rotation / Adiabatic continuity
Outline of Annual Research Achievements

During this fiscal year, I focused on two main research activities:

(1) With collaborators, I investigated the possibility of color confinement resulting from perturbative contributions. We explored the use of an imaginary angular velocity at a high temperature, which led to a perturbatively confined phase continuously connected to the conventional nonperturbative confined phase, as well as a perturbative deconfinement-confinement phase transition. This discovery establishes a perturbative laboratory for confinement physics where we can investigate many confinement-related phenomena perturbatively.

(2) With collaborators, I challenged the conventional understanding of the conservation law of topological solitons. While the prevailing view is that solitonic symmetry is determined by homotopy groups, we discovered a far more sophisticated algebraic structure. We found a highly unconventional selection rule for the correlation function between line and point defect operators. Solitonic symmetry accounting for this cannot be group-like but non-invertible and depends on far finer topological data than homotopy groups. Besides, its invertible part is determined by some generalized cohomology like bordism, still instead of homotopy groups. This discovery also suggests a distinguished role of solitonic symmetry in understanding Abelian non-invertible symmetry, which may open up new avenues of inquiry and deepen our understanding of generalized symmetry.

Current Status of Research Progress
Current Status of Research Progress

1: Research has progressed more than it was originally planned.

Reason

My research progress during this fiscal year has exceeded my expectations in both research activities. In particular, I did not anticipate discovering such nontrivial and surprising results. For the first activity, we managed to solve the problem analytically, which was a great surprise, and the prediction of a deconfinement-confinement phase transition was unexpected. As for the second activity, we discovered a highly unconventional topological selection rule between line and point defects that we did not foresee. This selection rule is now known to correspond to a non-invertible categorical symmetry, which was another exciting and surprising finding.

Strategy for Future Research Activity

In the future, I plan to build on my research activities from this fiscal year to further investigate exciting research directions. For my first activity, I hope to explore the relationship between confinement and chiral symmetry breaking in more detail, using the perturbative scenario we developed. This will deepen our understanding of the physics of confinement and its connections to other important phenomena. For my second activity, I plan to delve deeper into the role of solitonic symmetry in understanding general non-invertible categorical symmetry. This could open up new avenues for exploring generalized symmetry, which is an exciting and rapidly developing area of research. Overall, I believe that these research directions have great potential for yielding valuable insights and advancing our understanding of fundamental physics.

  • Research Products

    (5 results)

All 2023 2022 Other

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

  • [Journal Article] Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity2023

    • Author(s)
      Shi Chen, Kenji Fukushima, Yusuke Shimada
    • Journal Title

      Physical Review Letters

      Volume: 129 Pages: 242002

    • DOI

      10.1103/PhysRevLett.129.242002

    • Peer Reviewed / Open Access
  • [Presentation] Solitonic symmetry beyond homotopy: invertibility from bordism and non-invertibility from TQFT2022

    • Author(s)
      Shi Chen
    • Organizer
      KEK Theory Workshop 2022
    • Int'l Joint Research
  • [Presentation] Generalized symmetry from the Homotopy Hypothesis2022

    • Author(s)
      Shi Chen
    • Organizer
      Quark Confinement 2023
    • Int'l Joint Research / Invited
  • [Remarks] クォーク閉じ込め問題への新しいアプローチの提唱

    • URL

      https://www.s.u-tokyo.ac.jp/ja/press/2022/8187/

  • [Remarks] Researchers aim to explore...

    • URL

      https://phys.org/news/2022-12-aim-explore-mass-confining-quarks.html

URL: 

Published: 2023-12-25  

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