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Study of gluon scattering amplitudes based on integrability in gauge-gravity(string) duality

Research Project

Project/Area Number 24540248
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionUniversity of Tsukuba

Principal Investigator

SATOH Yuji  筑波大学, 数理物質系, 助教 (50312799)

Project Period (FY) 2012-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords弦理論 / 強結合ゲージ理論 / 重力理論/ゲージ理論双対性 / 可積分性 / グルーオン散乱振幅 / 極小曲面 / 熱力学的ベーテ仮説 / 重力理論/ゲージ理論双対性 / 重力/ゲージ理論双対性 / 可積分模型
Outline of Final Research Achievements

The gauge/string duality states that certain gauge theories and theories of strings/gravity are different descriptions of the same theories. We studied the scattering amplitudes of a supersymmetric gauge theory at strong coupling based on this duality and the integrability behind it. In particular, by using various approaches associated with integrable systems, we gave formulations which enable us to analytically evaluate the strong-coupling amplitudes. We also developed a method, which is even conceptually new, to analyze quantum integrable models by combining the picture from conformal perturbation theory in the UV regime and that from scattering theory in the IR regime. We thereby derived the exact mass-coupling relation of an integrable model for strong-coupling amplitudes. These are interdisciplinary achievements which cover gauge theory, string theory/gravity and integrable systems.

Report

(7 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (50 results)

All 2018 2017 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (2 results) Journal Article (12 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 11 results,  Open Access: 6 results,  Acknowledgement Compliant: 7 results) Presentation (35 results) (of which Int'l Joint Research: 3 results,  Invited: 22 results) Remarks (1 results)

  • [Int'l Joint Research] Wigner Research Centre for Physics(Hungary)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Wigner Research Centre for Physics(Hungary)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Non-supersymmetric D-branes with vanishing cylinder amplitudes in asymmetric orbifolds2017

    • Author(s)
      Yuji Satoh, Yuji Sugawara and Takahiro Uetoko
    • Journal Title

      Journal of High Energy Physics

      Volume: 1708 Issue: 8 Pages: 082-082

    • DOI

      10.1007/jhep08(2017)082

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Lie algebra lattices and strings on T-folds2017

    • Author(s)
      Y. Satoh and Y. Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 1702 Issue: 2 Pages: 024-024

    • DOI

      10.1007/jhep02(2017)024

    • NAID

      120007134928

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Exact mass-coupling relation for the homogeneous sine-Gordon model2016

    • Author(s)
      Zoltan Bajnok, Janos Balog, Katsushi Ito, Yuji Satoh , Gabor Zsolt Toth
    • Journal Title

      Physical Review Letters

      Volume: 116 Issue: 18 Pages: 1-5

    • DOI

      10.1103/physrevlett.116.181601

    • NAID

      120007135487

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On the mass-coupling relation of multi-scale quantum integrable models2016

    • Author(s)
      Zoltan Bajnok, Janos Balog, Katsushi Ito, Yuji Satoh , Gabor Zsolt Toth
    • Journal Title

      Journal of High Energy Physics

      Volume: 71 Issue: 6 Pages: 1-52

    • DOI

      10.1007/jhep06(2016)071

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Exact mass-coupling relation of the simplest multi-scale quantum integrable model2016

    • Author(s)
      Zoltan Bajnok, Janos Balog, Katsushi Ito, Yuji Satoh and Gabor Zsolt Toth
    • Journal Title

      Physical Review Letters

      Volume: 116

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Non-supersymmetric asymmetric orbifolds with vanishing cosmological constant2016

    • Author(s)
      Yuji Satoh, Yuji Sugawara and Taiki Wada
    • Journal Title

      Journal of High Energy Physics

      Volume: 02 Issue: 2 Pages: 184-184

    • DOI

      10.1007/jhep02(2016)184

    • NAID

      120007129565

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Non-geometric backgrounds based on topological interfaces2015

    • Author(s)
      Yuji Satoh and Yuji Sugawara
    • Journal Title

      Journal of High Energy Physics

      Volume: 07 Issue: 7 Pages: 022-022

    • DOI

      10.1007/jhep07(2015)022

    • NAID

      120007135839

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling2014

    • Author(s)
      Y. Hatsuda, K. Ito, Y. Satoh and J. Suzuki
    • Journal Title

      Journal of High Energy Physics

      Volume: 408 Issue: 8 Pages: 162-162

    • DOI

      10.1007/jhep08(2014)162

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] AdS空間中の極小曲面とグルーオン散乱振幅2014

    • Author(s)
      佐藤勇二
    • Journal Title

      RIMS Kokyuroku (数理解析研究所講究録)

      Volume: 1880 Pages: 42-71

    • Related Report
      2013 Research-status Report
  • [Journal Article] Gluon scattering amplitudes from gauge/string duality and integrability2014

    • Author(s)
      Yuji Satoh
    • Journal Title

      Nuclear Physics B Proceedings Supplement

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models2013

    • Author(s)
      Y. Hatsuda, K. lto, Y. Satoh
    • Journal Title

      JHEP

      Volume: 02 Issue: 2 Pages: 67-67

    • DOI

      10.1007/jhep02(2013)067

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Gluon scattering amplitudes from gauge/string duality and integrability2013

    • Author(s)
      Yuji Satoh
    • Journal Title

      International Journal of Modern Physics : Conference Series

      Volume: Vol. 21 Pages: 1-21

    • DOI

      10.1142/s2010194513009379

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 開弦の場の理論の古典解と conformal interface の関係2018

    • Author(s)
      小路田俊子, 佐藤勇二
    • Organizer
      日本物理学会第 73 回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Lie algebra lattices and strings on T-folds2017

    • Author(s)
      佐藤勇二, 菅原祐二
    • Organizer
      日本物理学会第 72 回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス, 大阪府豊中市
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Non-SUSY D-branes with vanishing cylinder amplitudes in asymmetric orbifolds II2017

    • Author(s)
      佐藤勇二, 菅原祐二, 上床隆弘
    • Organizer
      日本物理学会第 72 回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス, 大阪府豊中市
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] A world-sheet approach to T-folds2017

    • Author(s)
      Yuji Satoh
    • Organizer
      New developments in AdS3/CFT2 holography
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-SUSY D-branes with vanishing cylinder amplitudes in asymmetric orbifolds2016

    • Author(s)
      佐藤勇二, 菅原祐二, 上床隆弘
    • Organizer
      日本物理学2016年秋季大会
    • Place of Presentation
      宮崎大学木花キャンパス, 宮崎県宮崎市
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
  • [Presentation] Conformal field theories for non-geometric backgrounds in string theory2016

    • Author(s)
      Yuji Satoh
    • Organizer
      New trends in low dimensional physics: Quantum integrability and applications
    • Place of Presentation
      Institute of Physics, Chinese Academy of Sciences, Beijing, China
    • Year and Date
      2016-09-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] T-Q relation for modified affine B2 Toda field equation2016

    • Author(s)
      伊藤克司, 佐藤勇二, Chris Locke, 束紅非
    • Organizer
      日本物理学会第 71 回年次大会
    • Place of Presentation
      東北学院大学(宮城県・仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Exact mass-coupling relation of simplest multi-scale quantum integrable model2016

    • Author(s)
      Zoltan Bajnok, Janos Balog, 伊藤克司, 佐藤勇二, Gabor Zsolt Toth
    • Organizer
      日本物理学会第 71 回年次大会
    • Place of Presentation
      東北学院大学(宮城県・仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Non-susy asymmetric orbifolds with vanishing cosmological constant2016

    • Author(s)
      佐藤勇二, 菅原祐二, 和田大樹
    • Organizer
      日本物理学会第 71 回年次大会
    • Place of Presentation
      東北学院大学(宮城県・仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] World-sheet interfaces and their applications2016

    • Author(s)
      Yuji Satoh
    • Organizer
      弦の場の理論 16
    • Place of Presentation
      筑波大学東京キャンパス(東京都・文京区)
    • Year and Date
      2016-02-22
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Analytic expansions of strong-coupling amplitudes in N=4 SYM2015

    • Author(s)
      Yuji Satoh
    • Organizer
      Amplitudes in Asia 2015
    • Place of Presentation
      National Center for Theoretical Sciences, Taipei (Taiwan)
    • Year and Date
      2015-11-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Conformal interfaces and string theory2015

    • Author(s)
      Yuji Satoh
    • Organizer
      奈良女子大学理学部セミナー
    • Place of Presentation
      奈良女子大学理学部(奈良県・奈良市)
    • Year and Date
      2015-05-22
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Non-geometric backgrounds and conformal interfaces2015

    • Author(s)
      Yuji Satoh
    • Organizer
      東京大学総合文化研究科セミナー
    • Place of Presentation
      東京大学総合文化研究科(東京都・目黒区)
    • Year and Date
      2015-05-21
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Non-geometric backgrounds based on topological interfaces2015

    • Author(s)
      佐藤勇二, 菅原祐二
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学、東京
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Quantum wronskian relation and gluon scattering amplitudes at strong coupling2014

    • Author(s)
      Yuji Satoh
    • Organizer
      Finite-size Technology in Low Dimensional Quantum System (VII)
    • Place of Presentation
      Eotvos University, Budapest, Hungary
    • Year and Date
      2014-06-16 – 2014-06-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Remainder function of N=4 SYM and massless TBA2014

    • Author(s)
      Yuji Satoh
    • Organizer
      Workshop on "Progress in the synthesis of integrabilities arising from gauge-string duality"
    • Place of Presentation
      KKR hotel Biwako, Ootsu; Ritsumeikan Univ., Kusatsu
    • Related Report
      2013 Research-status Report
  • [Presentation] MHV amplitude around the regular-polygonal limit2013

    • Author(s)
      Yuji Satoh
    • Organizer
      Eotvos Spring School on Recent Advances in AdS/CFT
    • Place of Presentation
      Eotvos University, Budapest, Hungary
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] AdS 空間中の極小曲面とグルーオン散乱振幅2013

    • Author(s)
      佐藤 勇二
    • Organizer
      RIMS 研究集会「部分多様体の微分幾何学の深化」
    • Place of Presentation
      京都大学数理解析研究所、京都
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] MHV amplitude around regular-polygonal limit2013

    • Author(s)
      Yuji Satoh
    • Organizer
      Kavli IPMU Workshop on Gauge and String Theory
    • Place of Presentation
      Kavli IPMU at University of Tokyo, Kashiwa, Japan
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Gluon scattering amplitudes and two-dimensional integrable systems2013

    • Author(s)
      Yuji Satoh
    • Organizer
      研究集会「場の数理とトポロジー」
    • Place of Presentation
      信州大学理学部
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Analytic expansion of MHV amplitude at strong coupling2013

    • Author(s)
      佐藤 勇二
    • Organizer
      日露共同研究ミニワークショップ
    • Place of Presentation
      ヴィアーレ大阪・大阪科学技術センター
    • Related Report
      2012 Research-status Report
  • [Presentation] Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models2013

    • Author(s)
      初田 泰之, 伊藤 克司, 佐藤 勇二
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学東広島キャンパス
    • Related Report
      2012 Research-status Report
  • [Presentation] Gluon scattering amplitudes from gauge/string duality and integrability2012

    • Author(s)
      Yuji Satoh
    • Organizer
      International conference on Progress in Quantum Field Theory and String Theory
    • Place of Presentation
      Osaka City University
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal/supersymmetric interfaces in string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      東京工業大学大学院理工学研究科セミナー
    • Place of Presentation
      東京工業大学理工学研究科
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal/supersymmetric interfaces in string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      CQUeST-IEU Focus program on on Finite-size Technology in Low Dimensional Quantum System (VI)
    • Place of Presentation
      Sogan Univ., Seoul, South Korea
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Gluon scattering amplitudes and two-dimensional integrable systems2012

    • Author(s)
      Yuji Satoh
    • Organizer
      APCTP-CQueST-IEU Workshop on Quantum Integrability and its Applications
    • Place of Presentation
      Jeju Island, South Korea
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On supersymmetric interfaces in string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      基研研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] Conformal/supersymmetric interfaces for string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      IPMU seminar
    • Place of Presentation
      Institute of Physics and Mathematics for Universe, University of Tokyo
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On supersymmetric interfaces in string theory2012

    • Author(s)
      佐藤 勇二
    • Organizer
      日本物理学会 2012 年秋季大会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 強結合グルーオン散乱振幅と弦理論2012

    • Author(s)
      佐藤 勇二
    • Organizer
      筑波大学物理学セミナー
    • Place of Presentation
      筑波大学数理物質系
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal/supersymmetric interfaces for string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      立教大学理学部セミナー
    • Place of Presentation
      立教大学理学部
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Gluon scattering amplitudes and two-dimensional integrable systems2012

    • Author(s)
      Yuji Satoh
    • Organizer
      Yukawa International Seminar (YKIS) 2012 ``From Gravity to Strong Coupling Physics''
    • Place of Presentation
      Yukawa Institute, Kyoto Univ.
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal/supersymmetric interfaces for string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      東京大学総合文化研究科セミナー
    • Place of Presentation
      東京大学総合文化研究科
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal/supersymmetric interfaces for string theory2012

    • Author(s)
      Yuji Satoh
    • Organizer
      日本大学理工学部セミナー
    • Place of Presentation
      日本大学理工学部
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Gluon scattering amplitudes from gauge/string duality and integrability2012

    • Author(s)
      Yuji Satoh
    • Organizer
      Light-Cone Physics: Hadronic and Particle Physics
    • Place of Presentation
      Univ. of Delhi, Delhi, India
    • Related Report
      2012 Research-status Report
    • Invited
  • [Remarks] Yuji Satoh's home page

    • URL

      http://www-het.ph.tsukuba.ac.jp/%7Eysatoh/index.html

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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