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Investigating topology of QCD with domain-wall fermion action

Research Project

Project/Area Number 18H01216
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionOsaka University

Principal Investigator

Fukaya Hidenori  大阪大学, 理学研究科, 助教 (70435676)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2020: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥7,020,000 (Direct Cost: ¥5,400,000、Indirect Cost: ¥1,620,000)
Fiscal Year 2018: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Keywords格子ゲージ理論 / トポロジー / 量子色力学 / ドメインウォールフェルミオン / QCD
Outline of Final Research Achievements

Simulating finite temperature lattice QCD at temperatures higher than 165MeV, we have found a strong suppression of the topological excitation or the effect of the axial U(1) anomaly. We computed the axial U(1) susceptibility as well as meson/baryon two point correlation functions and found a good consistency with the disappearance of the axial U(1) anomaly in the chiral limit. This results were published in Physical Review D and we recieved the HPCI Excellent Achievement Award in 2020. Also, we achieved a clean separation of the chiral susceptibility into the axial U(1) breaking contributions from others and found the effect of the anomaly dominates the signal by 90%.

Academic Significance and Societal Importance of the Research Achievements

これまでの格子QCDシミュレーション、特に有限温度QCDシミュレーションでは、計算コストの問題があるために格子上でカイラル対称性を壊す理論定式化が使われてきた。この手法では、自発的カイラル対称性の破れが不明確になるばかりでなく、カイラル対称性と密接に関係する、ゲージ場のトポロジカルな性質も損なわれる。私たちの研究成果は、精密なカイラル対称性をもつ格子QCDシミュレーションで行われた世界初の試みであり、宇宙初期に起こったQCD相転移に対するトポロジカルな励起の効果を定量的に見積もることに成功した。

Report

(4 results)
  • 2021 Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (49 results)

All 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (5 results) Journal Article (13 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 13 results,  Open Access: 10 results) Presentation (29 results) (of which Int'l Joint Research: 20 results,  Invited: 13 results) Remarks (2 results)

  • [Int'l Joint Research] Johannes Gutenberg-Universit Mainz(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] lEcole Normale Suprieurede(フランス)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] York University(カナダ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Univ. of Graz(オーストリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Univ. of Edinburgh(英国)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Mod-two APS index and domain-wall fermion2022

    • Author(s)
      Fukaya Hidenori、Furuta Mikio、Matsuki Yoshiyuki、Matsuo Shinichiroh、Onogi Tetsuya、Yamaguchi Satoshi、Yamashita Mayuko
    • Journal Title

      Letters in Mathematical Physics

      Volume: 112 Issue: 2 Pages: 1-16

    • DOI

      10.1007/s11005-022-01509-2

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Role of the axial U(1) anomaly in the chiral susceptibility of QCD at high temperature2022

    • Author(s)
      Aoki S、Aoki Y、Fukaya H、Hashimoto S、Rohrhofer C、Suzuki K
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2022 Issue: 2 Pages: 1-12

    • DOI

      10.1093/ptep/ptac001

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Curved domain-wall fermions2022

    • Author(s)
      Aoki Shoto、Fukaya Hidenori
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2022 Issue: 6 Pages: 1-15

    • DOI

      10.1093/ptep/ptac075

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Study of the axial U(1) anomaly at high temperature with lattice chiral fermions2021

    • Author(s)
      Aoki S.、Aoki Y.、Cossu G.、Fukaya H.、Hashimoto S.、Kaneko T.、Rohrhofer C.、Suzuki K.、JLQCD collaboration
    • Journal Title

      Physical Review D

      Volume: 103 Issue: 7 Pages: 074506-074506

    • DOI

      10.1103/physrevd.103.074506

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Understanding the index theorems with massive fermions2021

    • Author(s)
      Fukaya Hidenori
    • Journal Title

      International Journal of Modern Physics A

      Volume: 36 Issue: 26 Pages: 1-29

    • DOI

      10.1142/s0217751x21300155

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Towards fully nonperturbative computations of inelastic ?N scattering cross sections from lattice QCD2020

    • Author(s)
      Fukaya Hidenori、Hashimoto Shoji、Kaneko Takashi、Ohki Hiroshi
    • Journal Title

      Physical Review D

      Volume: 102 Issue: 11 Pages: 114516-114516

    • DOI

      10.1103/physrevd.102.114516

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Atiyah-Patodi-Singer index on a lattice2020

    • Author(s)
      Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki, Makito Mori, Katsumasa Nakayama, Tetsuya Onogi, Satoshi Yamaguchi
    • Journal Title

      PTEP

      Volume: 4 Issue: 4 Pages: 1-11

    • DOI

      10.1093/ptep/ptaa031

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Atiyah-Patodi-Singer Index and Domain-Wall Fermion Dirac Operators2020

    • Author(s)
      H. Fukaya, M. Furuta, S. Matsuo, T. Onogi, S. Yamaguchi and M. Yamashita
    • Journal Title

      Communicatios in Mathematical Physics

      Volume: 380 Issue: 3 Pages: 1295-1311

    • DOI

      10.1007/s00220-020-03806-0

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thouless-Kohmoto-Nightingale-den Nijs formula for a general Hamiltonian2020

    • Author(s)
      Fukaya Hidenori、Onogi Tetsuya、Yamaguchi Satoshi、Wu Xi
    • Journal Title

      Physical Review D

      Volume: 101 Issue: 7 Pages: 1-14

    • DOI

      10.1103/physrevd.101.074507

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] B to D^(*)\ell\nu form factors from N_f=2+1 QCD with Mobius domain-wall quarks2019

    • Author(s)
      Kaneko Takashi、Aoki Yasumichi、Colquhoun Brian、Fukaya Hidenori、Hashimoto Shoji、JLQCD Collaboration
    • Journal Title

      PoS Lattice2018

      Volume: 1 Pages: 1-7

    • DOI

      10.22323/1.334.0311

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD2019

    • Author(s)
      Suzuki Kei、Aoki Sinya、Aoki Yasumichi、Cossu Guido、Fukaya Hidenori、Hashimoto Shoji、JLQCD Collaboration
    • Journal Title

      PoS Lattice2018

      Volume: 1 Pages: 1-7

    • DOI

      10.22323/1.334.0152

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Observation of approximate SU(2) and SU(2n) symmetries in high temperature lattice QCD2019

    • Author(s)
      Rohrhofer Christian、Aoki Yasumichi、Cossu Guido、Fukaya Hidenori、Glozman Leonid、Hashimoto Shoji、Lang Christian B.、Prelovsek Sasa
    • Journal Title

      Nuclear Physics A

      Volume: 982 Pages: 207-210

    • DOI

      10.1016/j.nuclphysa.2018.10.037

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Symmetries of spatial meson correlators in high temperature QCD2019

    • Author(s)
      C. Rohrhofer, Y. Aoki, G. Cossu, H. Fukaya, C. Gattringer, L. Ya. Glozman, S. Hashimoto, C.B. Lang, and S. Prelovsek
    • Journal Title

      Physical Review D

      Volume: 100 Issue: 1 Pages: 014502-014502

    • DOI

      10.1103/physrevd.100.014502

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] “Bulk-edge correspondence of anomaly and APS index theorem”2022

    • Author(s)
      Hidenori Fukaya
    • Organizer
      Workshop "BE/BC 2022"
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 格子ゲージ理論における指数定理2022

    • Author(s)
      深谷英則
    • Organizer
      CREST チュートリアル・ワークショップ 「物質のトポロジカル相の理論的探究」
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] "What is chiral susceptibility probing?"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      The 38th International Symposium on Lattice Field Theory
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "A physicist-friendly reformulation of the Atiyah-Patodi-Singer index (on a lattice)"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      The 38th International Symposium on Lattice Field Theory
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] "有限温度QCD相転移におけるU(1)量子異常の役割"2021

    • Author(s)
      深谷英則
    • Organizer
      日本物理学会2021年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] "What is chiral susceptibility probing?"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      YITP workshop QCD phase diagram and lattice QCD
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "A physicist-friendly reformulation of the Atiyah-Patodi-Singer index (on a lattice)"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      East Asia Joint Symposium on Fields and Strings 2021
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "What is chiral susceptibility probing?"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      KEK Theory Workshop 2021
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "Domain-wall fermion and index theorem"2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      BNL & RBRC Joint Workshop "DWQ@25
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Axial U(1) anomaly in 2+1-flavor lattice QCD at high temperature near the physical point2021

    • Author(s)
      深谷英則
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] What is chiral susceptibility probing?2021

    • Author(s)
      Hidenori Fukaya
    • Organizer
      FunQCD: from first principles to effective theories
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A new perspective to hadronic excitations above Tc2020

    • Author(s)
      Christian Rohrhofer
    • Organizer
      Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Axial U(1) anomaly in 2+1 flavor QCD at high temperature2020

    • Author(s)
      金森逸作
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] What is chiral susceptibility probing?2020

    • Author(s)
      Hidenori Fukaya
    • Organizer
      Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] カイラル感受率とU(1)量子異常2020

    • Author(s)
      深谷英則
    • Organizer
      基研研究会 素粒子物理学の進展2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Topological excitation in high temperature phase of Quantum Chromodynamics2020

    • Author(s)
      Hidenori Fukaya
    • Organizer
      筑波大学CCS International Symposium 2020
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 量子色力学の高温相におけるトポロジー励起2020

    • Author(s)
      Hidenori Fukaya
    • Organizer
      第7回「京」を中核とするHPCIシステム利用研究課題 成果報告会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A physicist-friendly reformulation of the Atiyah-Patodi-Singer index theorem (on a lattice)2020

    • Author(s)
      H. Fukaya
    • Organizer
      研究会「トポロジカル表面状態、ブレーンとソリトン、指数定理」
    • Related Report
      2018 Annual Research Report
  • [Presentation] "Why is domain-wall fermion mathematically interesting?"2019

    • Author(s)
      H. Fukaya
    • Organizer
      国際研究会Frontiers in Lattice QCD and related topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "Domain-wall fermion and Atiyah-Patodi-Singer index"2019

    • Author(s)
      H. Fukaya
    • Organizer
      Lattice 2019 at Wuhan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] "Domain-wall fermion and Atiyah-Patodi-Singer index"2019

    • Author(s)
      H. Fukaya
    • Organizer
      Workshop "RMT in Sub-Atomic Physics and Beyond"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] "Mathematical proof for "physicist-friendly" reformulation of Atiyah- Patodi-Singer index".2019

    • Author(s)
      H. Fukaya
    • Organizer
      Workshop Strings and Fields 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nf=2格子QCDにおける高温領域の対称性2019

    • Author(s)
      深谷英則
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Domain-wall fermion and Atiyah-Patodi-Singer index2019

    • Author(s)
      H. Fukaya
    • Organizer
      Workshop: Mathematical approach for topological physics (II)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] "Topology in lattice gauge theory"2019

    • Author(s)
      深谷英則
    • Organizer
      基研研究会「場の量子論における非摂動論的手法と素粒子物理学への応用」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] AXIAL U(1) SYMMETRY IN LATTICE QCD AT HIGH TEMPERATURE2018

    • Author(s)
      H. Fukaya
    • Organizer
      YKIS2018b Symposium "Recent Developments in Quark-Hadron Sciences"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A physicist-friendly reformulation of the Atiyah-Patodi-Singer index theorem2018

    • Author(s)
      H. Fukaya
    • Organizer
      AVENUES OF QUANTUM FIELD THEORY IN CURVED SPACETIME
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A physicist-friendly reformulation of the Atiyah-Patodi-Singer index theorem2018

    • Author(s)
      H. Fukaya
    • Organizer
      東北大学 workshop "PROGRESS IN THE MATHEMATICS OF TOPOLOGICAL STATES OF MATTER"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Axial U(1) Anomaly at High Temperature2018

    • Author(s)
      H. Fukaya
    • Organizer
      Quantum Chromodynamics and Its Symmetries
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Remarks] 私の研究

    • URL

      http://kabuto.phys.sci.osaka-u.ac.jp/~hfukaya/study.html

    • Related Report
      2020 Annual Research Report
  • [Remarks] 深谷英則のページ 私の研究

    • URL

      http://kabuto.phys.sci.osaka-u.ac.jp/~hfukaya/study.html

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report

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Published: 2018-04-23   Modified: 2023-01-30  

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