1997 Fiscal Year Annual Research Report

ゲージ場理論の動力学

Research Project

Project/Area Number	09045036
Research Category	Grant-in-Aid for international Scientific Research
Section	University-to-University Cooperative Research
Research Institution	Tokyo Metropolitan University
Principal Investigator	南方久和東京都立大学, 理学研究科, 教授 (00112475)
Co-Investigator(Kenkyū-buntansha)	APPELQUIST T Yale University, Center for Theoretical P, Professor CHODOS Alan Yale University, Center for Theoretical P, Director 北澤敬章東京都立大学, 理学研究科, 助手 (20271158) 安田修東京都立大学, 理学研究科, 助手 (50183116) 鈴木徹東京都立大学, 理学研究科, 助教授 (20175409)
Keywords	熱力学的ベ-テ仮説 / 有限密度相転移 / カイラル相転移 / 超対称性 / 対称性の自発的破れ / シ-タ真空 / ゲージ対称性
Research Abstract	代表者南方と分担者チョドスは各1回の相互訪問を通じて、熱力学的ベ-テ仮説を使う1次元系の統計力学の研究を行ない、特に熱力学的ベ-テ仮説をラージN展開と組み合わせた新しい近似方法を開発した。(論文として報告済み)この熱力学的ベ-テ仮説による統計力学の建設を、1次元導電性ポリマーにとって物理的に現実的なフレーバー数の場合に厳密に実行するための予備的討論を行った。また、量子色力学における有限核子密度下でのカイラル、およびゲージ対称性の自発的破れ(カラー超伝導相)を伴う相転移についての研究を開始した。鈴木は夏期のイェール大学訪問中、クズネツォフおよびヤッケロと闘わせた討論を基にして、量子論的伝播関数の古典軌道表示に関する論文を書き上げた。(論文投稿中) 安田、北澤は平成9年6-7月に都立大の国際共同研究費によって来学したシューと超対称ゲージ理論における超対称性の自発的破れに関する討論を行った。さらに、北澤は9月よりResearch Associateとしてイェール大学にあって、当地の研究者と動力学的な超対称性の破れに基づく超対称複合模型についての共同研究を行った。(論文投稿中) アッペルキストはインスタントンのカイラル相転移における役割について議論した。アッペルキストおよびシュー達は超対称ゲージ理論におけるカイラル対称性の破れの構造を、シュヴィンガー・ダイソン方程式に依って取り扱った。シュー達は超対称量子色力学におけるシ-タ真空角の問題を議論し、これに基づいて大きなシ-タ角の下でのアキシオン宇宙論を論じた。クズネツォフは表示理論の不完全性の問題を隠れた対称性と量子論的な非可積分性の観点から議論した。

Research Products
(21 results)

All Other

All Publications (21 results)

[Publications] A.Chodos and H.Minakata: "The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model" Nuclear Physics B[FS]. 490. 687-698 (1997)
[Publications] M.Arai and H.Minakata: "Unitarity of the Aharonv-Bohm Scattering Amplitudes" International Journal for Modern Physics A to be published.
[Publications] H.Minakata and H.Nunokawa: "How to Measure CP-Violation in Neutrino Oscillation Experiments?" Physics Letters B. 413. 369-377 (1997)
[Publications] H.Hiro-Oka and H.Minakata: "Two-Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B ; to be Published.
[Publications] H.Minakata and Y.Shimada: "Can Long-Baseline Neutrino Oscillation Experiments Tell Us about Neutrino Dark Matter?" Astroparticle Physics. 8. 193-200 (1998)
[Publications] H.Minakata and O.Yasuda: "Constraining Almost Degenerate Three Flavor Neutrinos" Physical Review D. 56. 1692-1697 (1997)
[Publications] H.Morita and T.Suzuki: "Nuclear Correlation Effects in the Deep Inelastic Structure Function of 4He" Australian Journal of Physics. 50. 53-60 (1997)
[Publications] H.Aiba, S.Mizutori and T.Suzuki: "Fluctuation Properties of Strength Function Phenomena : A Model Study" Physical Review E. 56. 119-130 (1997)
[Publications] H.Yabu, K.Nozawa and T.Suzuki: "Dissipative Field Theory with Caldeira-Leggett Method andIts Application to Disoriented Chiral Condensation" Physical Review D. 57. 1687-1693 (1998)
[Publications] R.Foot, R.R.Volkas and O.Yasuda,: "Up-Down Atmospheric Neutrino Flux Asymmetry Predictions for Various Neutrino Oscillation Scenarios" Physical Review D. 57. R1345-1349 (1998)
[Publications] R.Foot, R.R.Volkas and O.Yasuda: "Testing Maximal Electron and Muon Neutrino Oscillations with Sub GeV Superkamiokande Atmospheric Neutrino Data" Physics Letters B,to be published.
[Publications] N.Okada and O.Yasuda: "A Sterile Neutrino Scenario Constrained by Experiments and Cosmology" International Journal for Modern Physics A. 12. 3669-3694 (1997)
[Publications] N.Kitazawa and N.Okada: "Supersymmetric Composite Model with Dynamical Supersymmetry Breaking" Physical Review D. 56. 2842-2851 (1997)
[Publications] A.Chodos and A.Kaiser: "Zeta Function Regularization in De Sitter Space : the Minkowski Limit" Journal of Mathematical Physics. 38. 4771-4782 (1997)
[Publications] T.Appelquist, J.Terning and L.C.R.Wijewardhana: "Postmodern Technicolor" Physical Review Letters. 79. 2767-2770 (1997)
[Publications] T.Appelquist and S.B.Selipsky: "Instantons and the Chiral Phase Transition" Physics Letters B. 400. 364-369 (1997)
[Publications] D.Kusnezov: "Incompleteness of Representation Theory : Hidden Symmetries and Quantum Nonintegrability" Physical Review Letters. 79. 537-540 (1997)
[Publications] S.D.H.Hsu and M.Schwetz: "A Note on Supersymmetry Breaking" Physics Letters B. 405. 287-292 (1997)
[Publications] N.Evans, S.D.H.Hsu and M.Schwetz: "Controlled Soft Breaking of N=1 SQCD" Physics Letters B. 404. 77-82 (1997)
[Publications] N.Evans, S.D.H.Hsu, A.Nyffeler and M.Schwetz: "QCD at Large Theta Angle and Axion Cosmology" Nuclear Physics B. 494. 200-212 (1997)
[Publications] N.Evans, S.D.H.Hsu and M.Schwetz: "Phase Transitions in Softly Broken N=2 SQCD at Nonzero Theta Angle" Nuclear Physics B. 484. 124-140 (1997)

1997 Fiscal Year Annual Research Report

ゲージ場理論の動力学

Principal Investigator

南方 久和 東京都立大学, 理学研究科, 教授 (00112475)

Research Products

[Publications] A.Chodos and H.Minakata: "The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model" Nuclear Physics B[FS]. 490. 687-698 (1997)

[Publications] M.Arai and H.Minakata: "Unitarity of the Aharonv-Bohm Scattering Amplitudes" International Journal for Modern Physics A to be published.

[Publications] H.Minakata and H.Nunokawa: "How to Measure CP-Violation in Neutrino Oscillation Experiments?" Physics Letters B. 413. 369-377 (1997)

[Publications] H.Hiro-Oka and H.Minakata: "Two-Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B ; to be Published.

[Publications] H.Minakata and Y.Shimada: "Can Long-Baseline Neutrino Oscillation Experiments Tell Us about Neutrino Dark Matter?" Astroparticle Physics. 8. 193-200 (1998)

[Publications] H.Minakata and O.Yasuda: "Constraining Almost Degenerate Three Flavor Neutrinos" Physical Review D. 56. 1692-1697 (1997)

[Publications] H.Morita and T.Suzuki: "Nuclear Correlation Effects in the Deep Inelastic Structure Function of 4He" Australian Journal of Physics. 50. 53-60 (1997)

[Publications] H.Aiba, S.Mizutori and T.Suzuki: "Fluctuation Properties of Strength Function Phenomena : A Model Study" Physical Review E. 56. 119-130 (1997)

[Publications] H.Yabu, K.Nozawa and T.Suzuki: "Dissipative Field Theory with Caldeira-Leggett Method andIts Application to Disoriented Chiral Condensation" Physical Review D. 57. 1687-1693 (1998)

[Publications] R.Foot, R.R.Volkas and O.Yasuda,: "Up-Down Atmospheric Neutrino Flux Asymmetry Predictions for Various Neutrino Oscillation Scenarios" Physical Review D. 57. R1345-1349 (1998)

[Publications] R.Foot, R.R.Volkas and O.Yasuda: "Testing Maximal Electron and Muon Neutrino Oscillations with Sub GeV Superkamiokande Atmospheric Neutrino Data" Physics Letters B,to be published.

[Publications] N.Okada and O.Yasuda: "A Sterile Neutrino Scenario Constrained by Experiments and Cosmology" International Journal for Modern Physics A. 12. 3669-3694 (1997)

[Publications] N.Kitazawa and N.Okada: "Supersymmetric Composite Model with Dynamical Supersymmetry Breaking" Physical Review D. 56. 2842-2851 (1997)

[Publications] A.Chodos and A.Kaiser: "Zeta Function Regularization in De Sitter Space : the Minkowski Limit" Journal of Mathematical Physics. 38. 4771-4782 (1997)

[Publications] T.Appelquist, J.Terning and L.C.R.Wijewardhana: "Postmodern Technicolor" Physical Review Letters. 79. 2767-2770 (1997)

[Publications] T.Appelquist and S.B.Selipsky: "Instantons and the Chiral Phase Transition" Physics Letters B. 400. 364-369 (1997)

[Publications] D.Kusnezov: "Incompleteness of Representation Theory : Hidden Symmetries and Quantum Nonintegrability" Physical Review Letters. 79. 537-540 (1997)

[Publications] S.D.H.Hsu and M.Schwetz: "A Note on Supersymmetry Breaking" Physics Letters B. 405. 287-292 (1997)

[Publications] N.Evans, S.D.H.Hsu and M.Schwetz: "Controlled Soft Breaking of N=1 SQCD" Physics Letters B. 404. 77-82 (1997)

[Publications] N.Evans, S.D.H.Hsu, A.Nyffeler and M.Schwetz: "QCD at Large Theta Angle and Axion Cosmology" Nuclear Physics B. 494. 200-212 (1997)

[Publications] N.Evans, S.D.H.Hsu and M.Schwetz: "Phase Transitions in Softly Broken N=2 SQCD at Nonzero Theta Angle" Nuclear Physics B. 484. 124-140 (1997)

南方久和東京都立大学, 理学研究科, 教授 (00112475)