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The standard model on the lattice and a simulation method for the lattice models with complex actions

Research Project

Project/Area Number 24540253
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 InstitutionThe University of Tokyo

Principal Investigator

KIKUKAWA Yoshio  東京大学, 総合文化研究科, 教授 (20252421)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords格子ゲージ理論 / カイラルゲージ理論 / モンテカルロ法 / 符号問題 / Lefschetz thimble / complex Langevin 法 / Complex Langevin 法 / 有限密度 / モンテカルロシミュレーション
Outline of Final Research Achievements

We formulated a hybrid Monte Carlo algorithm which is applicable to lattice theories defined on Lefschetz thimbles. The algorithm was tested in the lambda phi^4 model at finite density, by choosing the thimbles associated with the classical vacua for subcritical and supercritical values of chemical potential. For the lattice size L=4, we find that the residual sign factors average to not less than 0.99 and are safely included by reweighting and that the results of the number density are consistent with those obtained by the complex Langevin simulations.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (3 results)

All 2014 2013

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (2 results) (of which Invited: 2 results)

  • [Journal Article] Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem2013

    • Author(s)
      藤井宏次、本田大悟、加藤光裕、菊川芳夫、小松尚太、佐野崇
    • Journal Title

      Journal of High Energy Physics

      Volume: 10 Issue: 10 Pages: 147-171

    • DOI

      10.1007/jhep10(2013)147

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem2014

    • Author(s)
      Y. Kikukawa
    • Organizer
      SIGN2014, International Workshop on the Sign Problem in QCD and beyond
    • Place of Presentation
      GSI, ダルムシュタット, ドイツ
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem2014

    • Author(s)
      菊川 芳夫
    • Organizer
      国際研究会 「Lattice QCD at finite temperature and density」
    • Place of Presentation
      高エネルギー加速器研究機構,つくば市,茨城県
    • Related Report
      2013 Research-status Report
    • Invited

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

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