1997 Fiscal Year Annual Research Report

高温高密度における非摂動現象

Research Project

Project/Area Number	08304024
Research Institution	Hiroshima University
Principal Investigator	宮村修広島大学, 理学部, 教授 (80029511)
Co-Investigator(Kenkyū-buntansha)	高木富士夫東北大学, 理学部, 教授 (20004343) 牲川章大阪市立大学, 理学部, 教授 (90047358) 国広悌二龍谷大学, 理工学部, 教授 (20153314) 佐々木賢横浜国立大学, 工学部, 教授 (00114976) 橋本貴明福井大学, 工学部, 助手 (30228415)
Keywords	量子色力学 / 高温高密度 / クォーク・グル-オンプラズマ / カイラル対称性 / クォーク閉じ込め / 熱場の理論 / ハドロン / クォーク・ハドロン転移
Research Abstract	宮村、高木等は高エネルギー原子核衝突における高温・高密度状態を解明するため衝突シミュレーターによって状態方程式を求めるとともに、核子の阻止能と運動量分布の解析を行いエネルギー密度の推定を行った。また、カイラル転移に関してカイラル凝縮非整列状態の発生・発展について、射影演算子法を用いる理論的解析法を展開した。高温の場の理論に関しては橋本が有限温度でのハドロンのスペクトル関数解析法を研究した。また、格子上のフェルミオンのフォーマリズムに関する理論的研究を行った。一方、熱場の摂動理論に関しては牲川、佐々木等が熱β関数を求めるための第一ステップとして、グルオンの自己エネルギーを摂動の一次でゲージ不変な形で導出する等、理論的枠組みの整備とクォーク・グル-オンプラズマへの応用について研究した。また、平衡にある系のみならず、非平衡系についての研究も行った。有限密度は、カイラル相転移の臨界現象へのモード-モード結合の効果を調べるべく、NJL模型での計算のコードの整理を国広等が行った。また、相転移に伴う臨界現象の分析に必要な繰込み群が量子力学の波動関数の発散級数の強力な総和法として応用できることを示した。これらの研究成果を検討するため、平成9年6月にクオーク・グル-オンプラズマに関する研究会を広島で開催した。岡、斉藤等はハドロンの力学構造に関する研究を行い、軸性U(1)対称性の破れとエータ中間子の構造、負パリティのバリオンの質量と結合定数とカイラル対称性の関係について明らかにした。また、バリオンの電磁的偏極率をQCD和則の方法により求め、電磁的偏極率は主として真空中のクォーク対凝縮の外部電磁場に対する変化率に依存することを示した。

Research Products

(27 results)

All Other

All Publications (27 results)

[Publications] N.Sasaki et al.: "Thermodynamical properties of hot and dense hadron gas by numerical simulation" Prog.Theor.Phys.Suppl.(in press).
[Publications] O.Miyamura: "Hadrons and Topological Charge from Magnetic Currents" Prog.Theor.Phys.Suppl.(in press).
[Publications] A.Hayashi et al.,: "2^D-component fermion on a (1+D)-dimensional Euclidean lattice with discrete chiral symmetries" Phys.Rev.D. 56. 6006-6009 (1997)
[Publications] M.Horibe et al.,: "New fromulation of the Dirac equation on a Minkovski lattice" Phys.Rev.D. 55. 2987-2993 (1997)
[Publications] Ph.de Forcrand, et al.: "Search for effective lattice action of pure QCD" Nucl.Phys.B. 53. 938-941 (1997)
[Publications] Ken Sasaki: "Gauge-independent resummed gluon self-energy in hot QCD" Nucl.Phys.B. 490. 472-504 (1997)
[Publications] T.Kunihiro: "Some Phenomenological Properties of the Chiral Transition in QCD" Progr.Theor.Phys.Supplement. 129(刊行予定). (1997)
[Publications] T.Kunihiro: "Renormalization-group resummatiion of a divergent series of the perturbative wave functions of the quantum anharmonic oscillato" Phys.Rev.D. 57. R2035-2039 (1998)
[Publications] A.Niegawa: "Self-consistent determination of hard modes in hot QCD" Phys.Rev.D. 55. 4997-5014 (1997)
[Publications] A.Niegawa: "Screening of mass singularities and finite soft-photon production rate in hot QCD." Phys.Rev.D. 56. 1073-1090 (1997)
[Publications] A.Niegawa: "enormalization of number density in nonequilibrium quantum-field theory and absence of pinch singularities." Phys.Lett.B. 416. 137-143 (1998)
[Publications] A.Niegawa: "Finite-temperature reaction-rate formula : Finite volume system,detailed balance,T-->0 limit,and cutting rules." Phys.Rev.D. (掲載決定).
[Publications] A.Niegawa: "Perturbative QCD at finite temperature and density." Prog.Theor.Phys.Supplement. (掲載決定).
[Publications] A.Niegawa: "Comment on Infrared and pinching singularities in out of equilibrium QCD plasmas." European Phys.J.(掲載決定).
[Publications] N.Takizawa et al.,: "Strong U_A(1) breaking in radiative eta decays" Phys.Rev.D. 55. 4083-4097 (1997)
[Publications] M.Takizawa et al.,: "Eta-meson decays and strong U_A(1) breaking in the three-flavor Nambu-Jona-Lasinio model" Australian J.Phys.50. 187-198 (1997)
[Publications] D.Jido et al.,: "Suppression of pi NN^* Coupling and Chiral Symmetry" Phys.Rev.Lett.80. 448-451 (1997)
[Publications] T.Nishikawa et al.,: "QCD Sum Rules and Electromagnetic Polarizbilities of Nucleon" Nucl.Phys.A. 615. 417-440 (1997)
[Publications] T.Nishikawa et al.,: "Electric Polarizabilities of Neutral Baryons in the QCD Sum Rule" Phys.Lett.B. (掲載決定).
[Publications] S.Saito et al.,: "Do reall the Seagull terms survive for the electric polarizability of the nucleon?" Nucl.Phys.A. (掲載決定).
[Publications] F.Takagi et al.: "Multifractal analysis of extreme fluctuations in hadron multiplicities" Phys.Rev.D. 569. 5862-5866 (1997)
[Publications] M.Ishihara et al.: "Particle production from disoriented chiral condensates described by a coherent state" Phys.Rev.C. 573(in press). (1998)
[Publications] F.Takagi: "Hadron multiplicities in quark gluon plasma events" Prog.Theor.Phys.Suppl.129(in press). (1998)
[Publications] M.Ishihara et al.: "Time development of vacuum structure in chiral phase transition" Prog.Theor.Phys.Suppl.129(in press). (1998)
[Publications] T.Koide et al.: "Medium effects on time development of hadronic correlation functions in the projection operator method" Prog.Theor.Phys.Suppl.129(in press). (1998)
[Publications] Y.Kiyo: "Does Leading ln x Resummation Predict the Rise of g_1 at Small x?" Zeitschrift fur Physik C. C74. 631-639 (1997)
[Publications] J.Kodaira: "Renormalization of Gauge-Invariant Operators for the Structure Function g_2(x,Q^2)." Prosgress of Theoretical Physics. 99-2(掲載予定). (1998)

1997 Fiscal Year Annual Research Report

高温高密度における非摂動現象

Principal Investigator

宮村 修 広島大学, 理学部, 教授 (80029511)

Research Products

[Publications] N.Sasaki et al.: "Thermodynamical properties of hot and dense hadron gas by numerical simulation" Prog.Theor.Phys.Suppl.(in press).

[Publications] O.Miyamura: "Hadrons and Topological Charge from Magnetic Currents" Prog.Theor.Phys.Suppl.(in press).

[Publications] A.Hayashi et al.,: "2^D-component fermion on a (1+D)-dimensional Euclidean lattice with discrete chiral symmetries" Phys.Rev.D. 56. 6006-6009 (1997)

[Publications] M.Horibe et al.,: "New fromulation of the Dirac equation on a Minkovski lattice" Phys.Rev.D. 55. 2987-2993 (1997)

[Publications] Ph.de Forcrand, et al.: "Search for effective lattice action of pure QCD" Nucl.Phys.B. 53. 938-941 (1997)

[Publications] Ken Sasaki: "Gauge-independent resummed gluon self-energy in hot QCD" Nucl.Phys.B. 490. 472-504 (1997)

[Publications] T.Kunihiro: "Some Phenomenological Properties of the Chiral Transition in QCD" Progr.Theor.Phys.Supplement. 129(刊行予定). (1997)

[Publications] T.Kunihiro: "Renormalization-group resummatiion of a divergent series of the perturbative wave functions of the quantum anharmonic oscillato" Phys.Rev.D. 57. R2035-2039 (1998)

[Publications] A.Niegawa: "Self-consistent determination of hard modes in hot QCD" Phys.Rev.D. 55. 4997-5014 (1997)

[Publications] A.Niegawa: "Screening of mass singularities and finite soft-photon production rate in hot QCD." Phys.Rev.D. 56. 1073-1090 (1997)

[Publications] A.Niegawa: "enormalization of number density in nonequilibrium quantum-field theory and absence of pinch singularities." Phys.Lett.B. 416. 137-143 (1998)

[Publications] A.Niegawa: "Finite-temperature reaction-rate formula : Finite volume system,detailed balance,T-->0 limit,and cutting rules." Phys.Rev.D. (掲載決定).

[Publications] A.Niegawa: "Perturbative QCD at finite temperature and density." Prog.Theor.Phys.Supplement. (掲載決定).

[Publications] A.Niegawa: "Comment on Infrared and pinching singularities in out of equilibrium QCD plasmas." European Phys.J.(掲載決定).

[Publications] N.Takizawa et al.,: "Strong U_A(1) breaking in radiative eta decays" Phys.Rev.D. 55. 4083-4097 (1997)

[Publications] M.Takizawa et al.,: "Eta-meson decays and strong U_A(1) breaking in the three-flavor Nambu-Jona-Lasinio model" Australian J.Phys.50. 187-198 (1997)

[Publications] D.Jido et al.,: "Suppression of pi NN^* Coupling and Chiral Symmetry" Phys.Rev.Lett.80. 448-451 (1997)

[Publications] T.Nishikawa et al.,: "QCD Sum Rules and Electromagnetic Polarizbilities of Nucleon" Nucl.Phys.A. 615. 417-440 (1997)

[Publications] T.Nishikawa et al.,: "Electric Polarizabilities of Neutral Baryons in the QCD Sum Rule" Phys.Lett.B. (掲載決定).

[Publications] S.Saito et al.,: "Do reall the Seagull terms survive for the electric polarizability of the nucleon?" Nucl.Phys.A. (掲載決定).

[Publications] F.Takagi et al.: "Multifractal analysis of extreme fluctuations in hadron multiplicities" Phys.Rev.D. 569. 5862-5866 (1997)

[Publications] M.Ishihara et al.: "Particle production from disoriented chiral condensates described by a coherent state" Phys.Rev.C. 573(in press). (1998)

[Publications] F.Takagi: "Hadron multiplicities in quark gluon plasma events" Prog.Theor.Phys.Suppl.129(in press). (1998)

[Publications] M.Ishihara et al.: "Time development of vacuum structure in chiral phase transition" Prog.Theor.Phys.Suppl.129(in press). (1998)

[Publications] T.Koide et al.: "Medium effects on time development of hadronic correlation functions in the projection operator method" Prog.Theor.Phys.Suppl.129(in press). (1998)

[Publications] Y.Kiyo: "Does Leading ln x Resummation Predict the Rise of g_1 at Small x?" Zeitschrift fur Physik C. C74. 631-639 (1997)

[Publications] J.Kodaira: "Renormalization of Gauge-Invariant Operators for the Structure Function g_2(x,Q^2)." Prosgress of Theoretical Physics. 99-2(掲載予定). (1998)

宮村修広島大学, 理学部, 教授 (80029511)