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Determination of Low-Energy Constants of Lattice QCD+QED by Level-Statistical Method

Research Project

Project/Area Number 25400259
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 InstitutionShimane University

Principal Investigator

M. Nishigaki Shinsuke  島根大学, 総合理工学研究科, 准教授 (00362913)

Research Collaborator KOVACS Tamas G.  
YAMAMOTO Takuya  
Project Period (FY) 2013-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords格子ゲージ理論 / QCD / 準位統計 / ランダム行列理論 / カイラル対称性 / 有限密度 / 有限温度 / アンダーソン局在 / 行列模型 / QCD相転移 / 量子カオス / 弦理論 / 超対称性 / カイラル相転移 / カイラル有効理論 / 国際情報交換 / ハンガリー
Outline of Final Research Achievements

We have performed exhaustive numerical simulations (gauge field generation and diagonalization of Dirac operators) of two-color QCD+QED on a lattice, for a parameter space in the confining phase of the theory:
SU(2) gauge couping beta=0~2.1, U(1) gauge couping e=0.0002~0.0028, AB flux phi=0.01~0.06. Statistical distributions of individual Dirac levels obtained from these simulations are then shown to be perfectly fitted with the analytic formula derived from the crossover random matrix ensembles interpolating chGSE and chGUE. This fitting enabled us to determine the two Loe-energy constants (chiral condensate Sigma and pseudo-scalar decay constant F) with the precisions of 10^-4 and 10^3, respectively, for the whole parameter space mentioned above. This achievements might find applications in a version of the technicolor model based on the SU(2) gauge theory, namely for the determination of phenomenological parameters of the proposed composite Higgs particle.

Report

(6 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
  • Research Products

    (28 results)

All 2018 2017 2016 2015 2014 2013 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 4 results,  Acknowledgement Compliant: 4 results) Presentation (16 results) (of which Int'l Joint Research: 5 results,  Invited: 8 results) Book (1 results) Remarks (4 results) Funded Workshop (1 results)

  • [Journal Article] Individual eigenvalue distributions of crossover chiral random matrices and low-energy constants of SU(2)×U(1) lattice gauge theory2018

    • Author(s)
      Takuya Yamamoto, Shinsuke M. Nishigaki
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 2018 Issue: 2

    • DOI

      10.1093/ptep/ptx188

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Distribution of the kith smallest Dirac operator eigenvalue : an update2015

    • Author(s)
      Shinsuke M. Nishigaki
    • Journal Title

      PoS LATTICE

      Volume: N/A

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Lee-Yang zero distribution of high temperature QCD and the Roberge-Weiss phase transition2015

    • Author(s)
      Keitaro Nagata, Kouji Kashiwa, Atsushi Nakamura, Shinsuke M. Nishigaki
    • Journal Title

      Physical Review D

      Volume: 91

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Tracy-Widom distribution as instanton sum of 2D IIA superstrings2014

    • Author(s)
      Shinsuke M. Nishigaki, Fumihiko Sugino
    • Journal Title

      Journal of High Energy Physics

      Volume: 09 Issue: 9 Pages: 104-104

    • DOI

      10.1007/jhep09(2014)104

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Individual eigenvalue distributions for chGSE-chGUE crossover and determination of low-energy constants in two-color QCD+QED2014

    • Author(s)
      Shinsuke M. Nishigaki, Takuya Yamamoto
    • Journal Title

      PoS LATTICE

      Volume: N/A

    • NAID

      120006681258

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Critical statistics at the mobility edge of QCD Dirac spectra2013

    • Author(s)
      Shinsuke M. Nishigaki, Matteo Giordano, Tamas G. Kovacs, Ferenc Pittler
    • Journal Title

      PoS LATTICE

      Volume: -

    • NAID

      120006681257

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 2次元IIA型超弦理論における多点関数と超対称行列模型との対応2018

    • Author(s)
      時本晋吉, 西垣真祐
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Multiple level spacing distributions at the mobility edge of QCD Dirac spectrum2017

    • Author(s)
      Shinsuke Nishigaki
    • Organizer
      Discrete Approaches to the Dynamics of Fields and Space-Time
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Critical statistics at the mobility edge of QCD Dirac spectra at high temperature2016

    • Author(s)
      Takuya Yamamoto, Shinsuke M. Nishigaki, et. al
    • Organizer
      Japanese-German Seminar 2016 "Phase structure of lattice field theories"
    • Place of Presentation
      新潟大学 駅南キャンパス 「ときめいと」(新潟県新潟市)
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 有限温度QCD Dirac準位の移動度端における臨界統計2016

    • Author(s)
      山本託也・西垣真祐
    • Organizer
      理研シンポジウム・iTHES研究会 「熱場の量子論とその応用」
    • Place of Presentation
      理化学研究所 鈴木梅太郎記念ホール(埼玉県和光市)
    • Year and Date
      2016-08-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 有限温度QCD Dirac準位の移動度端における臨界統計2016

    • Author(s)
      西垣真祐, 山本託也, T. Kovacs, M. Giordano, F. Pittler
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学 泉キャンパス
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Spectral crossover and Anderson localization in QCD Dirac spectra2015

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      Workshop "Random Matrix Theory, Integrable Systems, and Topology in Physics"
    • Place of Presentation
      SCGP, Stony Brook University, NY, USA
    • Year and Date
      2015-11-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Tracy-Widom distribution and spontaneous SUSY breaking in a matrix model of 2D IIA superstrings2015

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      Program "Foundations and Applications of Random Matrix Theory"
    • Place of Presentation
      SCGP, Stony Brook University, NY, USA
    • Year and Date
      2015-09-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Distribution of the kith smallest Dirac operator eigenvalue : an update2015

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      LATTICE2015 - The 33rd International Symposium on Lattice Field Theory
    • Place of Presentation
      神戸国際会議センター
    • Year and Date
      2015-07-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Individual eigenvalue distributions for chGSE-chGUE crossover and low-energy constants in SU(2)×U(1) gauge theory2014

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      Workshop 'Fluctuation and Correlation in Stochastic Systems'
    • Place of Presentation
      中央大学
    • Year and Date
      2014-10-15
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Critical statistics at the mobility edge of QCD Dirac spectra in the QGP phase2014

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      Workshop 'Fluctuation and Correlation in Stochastic Systems'
    • Place of Presentation
      中央大学
    • Year and Date
      2014-10-15
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Tracy-Widom distribution as instanton sum of 2D IIA superstrings2014

    • Author(s)
      西垣真祐, 杉野文彦
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      佐賀大学
    • Year and Date
      2014-09-18 – 2014-09-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Individual eigenvalue distributions for chGSE-chGUE crossover and determination of low-energy constants in two-color QCD+QED2014

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      LATTICE 2014, the 32st International Symposium on Lattice Field Theory
    • Place of Presentation
      Columbia University, NY, USA
    • Year and Date
      2014-06-23 – 2014-06-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Critical statistics at the mobility edge of QCD Dirac spectra2013

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      LATTICE 2013, the 31st International Symposium on Lattice Field Theory
    • Place of Presentation
      Johannes Gutenberg University (Mainz, Germany)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Individual Dirac eigenvalue distributions for two-color QCD+QED and determination of low-energy constants2013

    • Author(s)
      山本託也, 西垣真祐
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      高知大学(高知県高知市)
    • Related Report
      2013 Research-status Report
  • [Presentation] Individual eigenvalue distributions for chGSE-chGUE crossover and determination of low-energy constants in two-color QCD+QED2013

    • Author(s)
      Shinsuke M. Nishigaki
    • Organizer
      RMT2013: Random Matrix Theory - Fluctuation in Complex Systems
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄県恩納村)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Critical statistics at the mobility edge of QCD Dirac spectra in the QGP phase2013

    • Author(s)
      西垣真祐
    • Organizer
      JICFuS Seminar on Non-Perturbative Physics
    • Place of Presentation
      京都大学基礎物理学研究所(京都府京都市)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Book] ランダム行列とゲージ理論 〈普遍性〉を通して捉える量子物理 [SGCライブラリ127]2016

    • Author(s)
      西垣 真祐
    • Total Pages
      144
    • Publisher
      サイエンス社
    • Related Report
      2016 Research-status Report
  • [Remarks] 遷移ランダム行列によるパイ中間子崩壊定数の決定 ~ゲージ理論と量子カオスのインタープレイ~

    • URL

      http://www.phys.shimane-u.ac.jp/research/research_mochizuki.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report 2015 Research-status Report 2014 Research-status Report
  • [Remarks] Shinsuke Mochizuki Nishigaki - Research

    • URL

      http://www.phys.shimane-u.ac.jp/mochizuki_lab/research.html

    • Related Report
      2016 Research-status Report 2015 Research-status Report 2014 Research-status Report
  • [Remarks] 遷移ランダム行列によるパイ中間子崩壊定数の決定 ~ゲージ理論と量子カオスのインタープレイ~

    • URL

      http://www.phys.shimane-u.ac.jp/research/research_mochizuki.html

    • Related Report
      2013 Research-status Report
  • [Remarks] Shinsuke Mochizuki Nishigaki - Research

    • URL

      http://www.phys.shimane-u.ac.jp/mochizuki_lab/research.html

    • Related Report
      2013 Research-status Report
  • [Funded Workshop] Discrete Approaches to the Dynamics of Fields and Space-Time2017

    • Related Report
      2017 Annual Research Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

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