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数値的手法にもとづいたゲージ理論の非摂動的効果の解明
https://doi.org/10.24517/00060923
https://doi.org/10.24517/0006092329e1b4d9-ca02-4d67-9272-d3373a25c7ad
名前 / ファイル | ライセンス | アクション |
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INF-PR-SUZUKI-T-kaken 2010-2p.pdf (104.1 kB)
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Item type | 報告書 / Research Paper(1) | |||||
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公開日 | 2021-10-29 | |||||
タイトル | ||||||
タイトル | 数値的手法にもとづいたゲージ理論の非摂動的効果の解明 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Study of non-perturbative effects of gauge theories using numerical methods | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
ID登録 | ||||||
ID登録 | 10.24517/00060923 | |||||
ID登録タイプ | JaLC | |||||
著者別表示 |
Suzuki, Tsuneo
× Suzuki, Tsuneo |
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提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 金沢大学総合メディア基盤センター | |||||
書誌情報 |
平成18(2006)年度 科学研究費補助金 特定領域研究 研究成果報告書概要 en : 2006 Fiscal Year Final Research Report Summary 巻 2001 – 2006, p. 2p., 発行日 2010-06-08 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | この研究で、鈴木はQCDの閉じ込め機構におけるトポロジー特にモノポールの役割を調べてきたが、18年度にきわめて精度の高い数値計算を行い、一切ゲージ固定などの人為的な条件を置かずに、可換な双対マイスナー効果で理解できることを発見した。弦定数などの閉じ込めに特徴的な振る舞いや電場が絞られる原因はすべて可換なモノポールの寄与であること、なぜ可換な電荷でなく非可換なカラーの閉じ込めが実現しているかなどがきれいに示された。現在は、カイラル対称性が成立しているoverlap fermion形式を使って、閉じ込め機構とカイラル対称性の自発的破れの関係を研究している。更に軽いクォークの入ったfull QCDでの研究で、軽いクォークのモノポールへの影響を研究している。久保は離散群に基づくフレーバー対称性が低エネルギーで実現されている可能性があり、標準理論やその拡張された理論が持つフレーバー問題を緩和することのできる有力は候補であることを見いだした。さらにフレーバーの対称性と陽子崩壊モード、暗黒物質の関係について調査を行い、フレーバー対称性は様々な形で実験的に検証可能であることを明らかにした。中島らは、Landauゲージの九後・小嶋カラー閉じ込め条件について、非クエンチ数値実験において初めて成立するという数値結果を得た。さらに中島はLandauゲージQCD(SU(3))のゴースト凝縮の可能性を調べた。現在までの解析ではゴースト凝縮は0とコンシステントである。 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Abelian mechanism of color confinement is observed bu Suzuki et al. in a gauge-independent way in SU (2) gluodynamics. A new noise-reduction method using random gauge transformations as well as the multi-level method are adopted. A static potential derived from Abelian Polyakov loop correlators gives us the correct string tension. Moreover only the monopole part in the Abelian Polyakov loop is responsible for the string tension. Abelian electric fields defined in an arbitrary color direction are squeezed and the corresponding monopole currents play the role of magnetic super currents. The penetration and the coherence lengths are consistent with those observed previously after Abelian projections. Since an Abelian neutral state in all color channels is restricted to a color-singlet state alone, the non-Abelian color confinement in SU (2) gluodynamics can be understood as the Abelian dual Meissner effect due to monopoles. Kubo found that a certain flavor symmetry based on a non-abelian discrete group can be realized at low energies. Discrete flavor symmetries can originate from the geometry of compactified extra dimensions. They make predictions that can be tested by future experiments such as Large Hadron Colider experiments and Super B-Factory experiments at KEK. The running coupling and the Kugo-Ojima confinement parameter were analyzed by Nakajima and his colaborator in lattice Landau gauge QCD with use of quenched and unquenched gauge configurations. Although the running coupling measured by the ghost and gluon dressing function is infrared suppressed, the running coupling has a maximum of $\alpha_0\sim 2-2.5$ at around $q=0.5$ GeV irrespective of the fermion actions (Wilson fermions and Kogut-Susskind fermions). The Kugo-Ojima Parameter $c$ which saturates to about 0.8 in quenched simulations becomes consistent with the expected value, 1, in the MILC configurations produced with the use of Asqtad action. |
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内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 研究課題/領域番号:13135210, 研究期間(年度):2001-2006 | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 出典:「数値的手法にもとづいたゲージ理論の非摂動的効果の解明」研究成果報告書 課題番号13135210 (KAKEN:科学研究費助成事業データベース(国立情報学研究所)) (https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135210/131352102006kenkyu_seika_hokoku_gaiyo/)を加工して作成 |
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著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/ja/search/?kw=60019502 | |||||
関連名称 | https://kaken.nii.ac.jp/ja/search/?kw=60019502 | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-13135210/ | |||||
関連名称 | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-13135210/ | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135210/131352102006kenkyu_seika_hokoku_gaiyo/ | |||||
関連名称 | https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135210/131352102006kenkyu_seika_hokoku_gaiyo/ |