2001 Fiscal Year Final Research Report Summary
First-Principle Calculation of Hadron System at finite Temperature
| Project/Area Number |
11694085
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | Hiroshima University |
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Principal Investigator |
MIYAMURA Osamu Hiroshima Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授 (80029511)
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| Co-Investigator(Kenkyū-buntansha) |
HIOKI Shinji ezukayama Univ., Faculty of Information Management, Assoc. Prof., 経営情報学部, 助教授 (70238252)
TAKAISHI Tetsuya Hiroshima Economy Univ., Faculty of Economy, Lecturer, 経済学部, 講師 (60299279)
NAKAMURA Atsushi Hiroshima Univ., Research Inst. Information Science and Education, Professor, 情報メディア教育研究センター, 教授 (30130876)
HASHMOTO Takaaki Fukui Univ., Faculty of Engineering, Assoc. Prof., 工学部, 助教授 (30228415)
SAKAI Sunao Yamagata Univ., Faculty of Education, Professor, 教育学部, 教授 (10015828)
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| Project Period (FY) |
1999 – 2000
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| Keywords | QGP / QCD / High Temperature-Density / lattice gauge theory / screening mass / renormalization group |
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| Research Abstract |
Quarks and gluons have a peculiar feature, i.e., "Confinement". Their dynamics, QCD, predicts the violation of the confinement at high temperature. Such state is called "Quark-Gluon Plasma (QGP)", and was realized at the early stage of the universe. Recently high energy heavy ion experiments have been performed extensively in Europe and USA to search for QGP.
In this project, we exchanged researchers between Germany and Japan to discuss the behavior of hadrons at finite temperature, calculational algorithms for finite density systems, and to develop an-isotropic lattice for finite temperature study. We have obtained the following results :
1. The relation between the pole masses and two-point functions of imaginary time has been clarified. Then we measured the pole and screening masses by lattice QCD and showed their temperature dependence.
2. We have analyzed an-isotropic lattice to get high resolution along the temperature direction. We have extended the study to include improved gauge actions.
3. To study the system at the early universe and high energy heavy ion collisions, we need to method to analyze the finite density. Because lattice QCD calculation with finite chemical potential is very hard task, a few trials had been done before. We approach the problem from the response of hadron masses with respect to the chemical potential, and color SU(2) theory.
4. On the renormalized trajectory, it is expected that the lattice artifact due to the discretization disappears. We have done the renormalization transformation for SU(3) gauge system non-perturbatively, and found the renormalized trajectory.
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