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Lattice gauge theories with tensor network scheme

Research Project

Project/Area Number 15H03651
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

KURAMASHI Yoshinobu  筑波大学, 計算科学研究センター, 教授 (30280506)

Co-Investigator(Renkei-kenkyūsha) TAKEDA Shinji  金沢大学, 数物科学系, 助教 (60577881)
SHIMIZU Yuya  理化学研究所, 計算科学研究機構, 特別研究員 (50710191)
YOSHIMURA Yusuke  筑波大学, 計算科学研究センター, 研究員 (10756844)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥16,770,000 (Direct Cost: ¥12,900,000、Indirect Cost: ¥3,870,000)
Fiscal Year 2017: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2016: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2015: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Keywords格子ゲージ理論 / テンソルネットワーク / テンソル繰り込み群 / 素粒子論
Outline of Final Research Achievements

Tensor Network (TN) scheme is a new kind of theoretical and numerical method to analyze many body systems, which has been getting much attention in various research fields after 2000s. This scheme has a great advantage in numerical aspect: It is free from the notorious sign problem in the Monte Carlo method. Our purpose is to apply the TN scheme to the research field of elementary particle physics. We have succeeded in developing an algorithm called the Grassmann higher order tensor renormalization group (GHOTRG), which is applicable to higher dimensional systems, and the detailed analyses of two-dimensional lattice Schwinger model and the construction of a TN representation for two-dimensional lattice N=1 Wess-Zumino model (a supersymmetric theory).

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (8 results)

All 2018 2016 2015

All Journal Article (5 results) (of which Peer Reviewed: 3 results,  Open Access: 4 results) Presentation (3 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Journal Article] Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion2018

    • Author(s)
      Yuya Shimizu and Yoshinobu Kuramashi
    • Journal Title

      Physical Review D

      Volume: 97 Issue: 3 Pages: 034502-034502

    • DOI

      10.1103/physrevd.97.034502

    • NAID

      120007133866

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group2018

    • Author(s)
      Yoshimura, Yusuke and Kuramashi, Yoshinobu and Nakamura, Yoshifumi and Takeda, Shinji and Sakai, Ryo
    • Journal Title

      Physical review D

      Volume: D97 Issue: 5 Pages: 054511-054511

    • DOI

      10.1103/physrevd.97.054511

    • NAID

      120007133944

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Tensor network formulation for two-dimensional lattice N2018

    • Author(s)
      Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura, Ryo Sakai, Shinji Takeda, Yusuke Yoshimura
    • Journal Title

      JHEP 1803 (2018) 141

      Volume: 1803 Issue: 3 Pages: 141-141

    • DOI

      10.1007/jhep03(2018)141

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Application of tensor network method to two dimensional lattice N=1 Wess-Zumino model2018

    • Author(s)
      Sakai, Ryo and Kadoh, Daisuke and Kuramashi, Yoshinobu and Nakamura, Yoshifumi and Takeda, Shinji and Yoshimura
    • Journal Title

      EPJ Web Conf.

      Volume: 175 Pages: 11019-11019

    • DOI

      10.1051/epjconf/201817511019

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Study of the continuum limit of the Schwinger model using Wilson's lattice formulation2016

    • Author(s)
      Yuya Shimizu and Yoshinobu Kuramashi
    • Journal Title

      Proceedings of Science

      Volume: LATTICE 2015 Pages: 049-049

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Presentation] Tensor network scheme for lattice gauge theories2016

    • Author(s)
      Yoshinobu Kuramashi
    • Organizer
      Phase structure of lattice field theories ― Japanese-German Seminar 2016 ―
    • Place of Presentation
      Niigata University, Niigata, Japan
    • Year and Date
      2016-09-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Tensor network scheme for lattice gauge theories2015

    • Author(s)
      Yoshinobu Kuramashi
    • Organizer
      XXVII IUPAP Conference on Computational Physics (CCP2015),
    • Place of Presentation
      IIT Guwahati, Assam, India
    • Year and Date
      2015-12-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Study of the continuum limit of the Schwinger model using Wilson’s lattice formulation2015

    • Author(s)
      Yuya Shimizu
    • Organizer
      The 33rd International Symposium on Lattice Field Theory (Lattice 2015)
    • Place of Presentation
      Kobe International Conference Center, Kobe, Japan
    • Year and Date
      2015-07-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research

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Published: 2015-04-16   Modified: 2019-03-29  

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