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Spectral function of hadrons on finite temperature lattice QCD

Research Project

Project/Area Number 11640268
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionFukui University

Principal Investigator

HASHIMOTO Takaaki  Applied Phys., Fukui University Assistant Professor, 工学部, 助教授 (30228415)

Co-Investigator(Kenkyū-buntansha) MINORU Horibe  Applied Phys.Fukui University Assistant Professor, 工学部, 助教授 (90143932)
HAYASHI Akihisa  Applied Phys Fukui University, Professor, 工学部, 教授 (80208610)
MATSUYAMA Tokoki  Nara University of Education, Assistant Prof., 教育学部, 助教授 (70202330)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2000: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1999: ¥3,000,000 (Direct Cost: ¥3,000,000)
KeywordsQCD / lattice gauge theory / hadron / spectral function / finite temperature / field theory / quantum stochastic process / tunneling time
Research Abstract

The spectral function of hadrons at finite temperature is expected to have rich physical contents, i.e., its mass and bound state under environment at finite temperature. Recently several authors have tried to determine the spectral function from propagators calculated by lattice QCD simulations. The problem is classified to an inverse problem of a linear equation, but it has ill-posed nature and hard to invert. We developed a new regularization scheme to find a spectral function by the use of truncated singular value decomposition and maximal entropy method. Our method always give a solution which satisfies the positivity requirement for the spectral function. We applied the method to lattice date with temporal lattice size Nt=20 and analyzed pseudo scalar and vector channels. On our lattice, Nt=20 corresponds to temperature just before the QCD phase transition. There are several definitions of entropy. We tried two definitions and the results are consistent.
The data used in this analysis are made under quenched approximation and do not contain dynamical fermion effects. The treatment of fermions on the lattice is difficult because of its doubling problem. We developed a new algorithm for the lattice fermion which has less species than the standard fermion. We also made the feasibility study of the method.
A system for the data analysis was introduced in this project. By the use of the system, we also made simulations of Nelson's quantum stochastic process and estimated tunneling time of the electron through magnetic thin films.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Ph.de Forcrand et al.: "Effects of Chemical Potential on Hadron Massesin the Phase Transition Region"Nucl.Phys.B(Proc.Suppl.). 83-84. 408-410 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: "A Study of Meson Correlators at Finite Temperature"Nucl.Phys.B(Proc.Suppl.). 83-84. 411-413 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: "Monte Carlo Renormalization Group analysis of QCD in two dimensional coupling space"Nucl.Phys.B(Proc.Suppl.). 83-84. 872-874 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Takami et al.: "Determination of a new fermionic action on a lattice I"Phys.Rev.D. 62・7. 074502-1-8 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Takami et al.: "Determination of a new fermionic action on a lattice II"Phys.Rev.D. 62・7. 077502-1-4 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Hashimoto and T.Tomomura: Proceedings of the Second International Conference Quantum Information II. 49-60 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: "Effects of Chemical Potential on Hadron Massesin the Phase Transition Region"Nucl.Phys.B (Proc.Suppl.). 73. 408-411 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: "A Study of Meson Correlators at Finite Temperature"Nucl.Phys.B (Proc.Suppl.). 73. 411-413 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: "Monte Carlo Renormalization Group analysis of QCD in, two dimensional coupling space"Nucl.Phys.B (Proc.Suppl.). 73. 872-874 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Takami et al.: "Determination of a new fermionic action on a lattice I"Phys.Rev.D. 074502. 1-8 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] B.Takami et al.: "Determination of a new fermionic action on a lattice II"Phys.Rev.D. 077502. 1-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Hashimoto and T.Tomomura: "The estimation of tunneling time by the use of Nelson's quantum stochastic process"Proceedings of the Second International Conference Quantum Information II, edited by T.Hida and K.Saito World Scientific. 49-60 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ph.de Forcrand et al.: Nucl.Phys.B(Proc.Suppl.). 73. 924-926 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ph.de Forcrand et al.: Nucl.Phys.B (Proc.Suppl.). 73. 477-479 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ph.de Forcrand et al.: Nucl.Phys.B (Proc.Suppl.). 73. 420-425 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Takami et al.: "Determination of a new fermionic action on a lattice I"Phys.Rev.D. 62・7. 074502 1-8 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Takami et al.: "Determination of a new fermionic action on a lattice II"Phys.Rev.D. 62・7. 077502 1-4 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Hashimoto and T.Tomomura: "The estimation of tunneling time by the use of Nelson's quantum stochastic process"Proceedings of the Second International Conference Quantum Information II. 49-60 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ph.de Forcrand et al.: "Scaling analysis of improved actions for pure SU(3) gauge theory"Nucl.Phys.B (Proc.Suppl.). 73. 924-926 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Ph.de Forcrand et al.: "Effects of chemical potential on hadron masses at finite temperature"Nucl.Phys.B (Proc.Suppl.). 73. 477-479 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Ph.de Forcrand et al.: "Finite temperature QCD on anisotropic lattices"Nucl.Phys.B (Proc.Suppl.). 73. 420-425 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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