{"created":"2023-07-27T06:57:26.784622+00:00","id":54646,"links":{},"metadata":{"_buckets":{"deposit":"4cb1df42-7816-43bf-a742-738da33d9512"},"_deposit":{"created_by":18,"id":"54646","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"54646"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00054646","sets":["2812:2813:2827"]},"author_link":["85760","80"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-06-08","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"3p.","bibliographicVolumeNumber":"2001 – 2006","bibliographic_titles":[{"bibliographic_title":"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"},{"bibliographic_title":"2006 Fiscal Year Final Research Report Summary","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"これまでの非摂動的な解析方法は結合定数以外のパラメタを持ち込み、そのパラメタについての級数展開法をとるので、そのパラメタについての収束性が問題になる。非摂動くりこみ群による方法は、明示的な意味での小さいパラメタによる展開はなく、理論を表現する関数空間を部分空間で近似し、その部分空間を拡大する方法をとる。青木は、この方法を用いて、素粒子論の根幹的な課題であるゲージ理論におけるカイラル対称性の自発的破れについての研究を進めた。特に、ゲージ不変性を回復するための処方、有限温度、有限密度の状況でのカイラル対称性の相構造、ローレンツ不変でない有効作用の影響、について調べた。また、新しいタイプの相転移生成として、無限距離相互作用がある場合の解析方法を開発した。最も簡単なイジング模型を用いて、有限レンジスケーリング法を新たに提起し、ツェータ関数を利用して相転移点やKT相転移の臨界指数を求める方法を示した。\n平山はSkyrme模型とFaddeev模型の厳密解やエネルギー値に関して新しい種々の知見を得ることができた。Faddeev模型の運動エネルギー項や相互作用項にある重み関数を付け加えた模型は厳密に解けることを示した。Skyrme模型の一群の2変数厳密解を得た。この解は相互作用定数に依存し,バリオン数密度0を持つ。Skvrme模型の一群の3変数厳密解を得た。この解は楕円関数で記述され、0でないバリオン数密度を持つ。特別な場合としてdomain wall解が存在することを数値的に示した。SU(2)ゲージ場がメロン配位をとる時のFaddeev-Niemi場がmonopole-antimonopole対と看做せるものであることを示した。Skyrmionのprofile functionとしてこれまで最善とされてきたものとは異なる関数形のものを考察し,よりよいエネルギー値を得た。\n素粒子の標準理論およびそれを越える超対称標準模型などには、パラメータの階層性に関して種々の問題点がある。寺尾は、これらの問題を何らかの対称性の破れとしてではなく、場の量子論の動力学によって説明するような理論的可能性について、様々な観点から考察を行った。特に大きな異常次元によって階層的構造を導く模型の考察を中心に行い、素粒子の質量階層性問題、超対称フレーバー問題、標準理論および超対称標準模型におけるヒッグス質量の階層性問題に対する新しい機構や模型を提唱した。その動力学の解析の手段として、主に非摂動的な繰り込み群を用いたが、特に赤外固定点のある(超対称)ゲージ理論の繰り込み群の定式化を進めた。最近ではLHCでの発見が期待されているヒッグス粒子の新しい模型を与え、その具体的な機構や現象論的な整合性について詳しく調べた。","subitem_description_type":"Abstract"},{"subitem_description":"K-I. A studied the non-perturbative renormalization group method to investigate the dynamical chiral symmetry breaking in gauge theories. The mean field method so far like the Schwinger-Dyson equation suffers a serious gauge dependence. The non-perturbative renormalization group beta functions can be improved to give less gauge dependent physical results by taking account of non-ladder type diagrams. The chiral phase structures in the hot and dense QCD matter is a hot topic in the high energy physics and nuclear physics, and the non-perturbative renormalization group beta function in the hot and dense states are evaluated and the importance of the effective potential and the Lorentz non-invariant operators are found. Also, the infinite range interactions are studied with the simplest Ising model. Introducing a new method of finite range scaling, we evaluate the critical coupling constant and the exponent by referring to the zeta function.\nM. H investigated Skyrme model and Fadeev model and got various new results about the exact solutions and energy eigen values. Fadeev model with a weight function for the kinetic term or interaction terms is proved to be solved exactly. Two parameter exact solutions for Skyrme model are found, which depends on the interaction constant and have vanishing Baryon number. Three parameter exact solution for Skyrme model are given by elliptic functions and they have non-vanishing Baryon number. As a special case for this class of solutions, we confirm a domain wall solution numerically. In SU (2) gauge theory, the Fadeev-Niemi field for the Melon configuration is interpreted as a monopole-antimonopole pair. We tried a new profile function for Skyrmion and got lower energy eigen values.\nH, T, studied mainly origin of large hierarchy in the parameters of the standard model of elementary particles as well as the supersymmetric models from dynamical point of view. Especially he considered the renormalization properties of field theories possessing infrared fixed points and studied role of large anomalous dimensions to realize hierarchical parameters in various models. Explicitly, he considered various models leading to the hierarchy in masses of elementary particles, universal masses of the superparticles in supersymmetric extensions so as not to generate the flavor changing neutral currents, and the mass hierarchy of the Higgs particle in the standard model as well as the supersymmetric extension. The dynamical properties of the models were analyzed by means of non-perturbative renormalization group. H. T also developed the analysis of renormalization group analysis of (supersymmetric) gauge theories with infrared fixed points simultaneously.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:13135211, 研究期間(年度):2001-2006","subitem_description_type":"Other"},{"subitem_description":"出典：「ゲージ場の理論の非摂動的解析方法の開発と応用」研究成果報告書　課題番号13135211\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所））\n（https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135211/131352112006kenkyu_seika_hokoku_gaiyo/)を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学理工研究域","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00060922","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/search/?kw=00150912"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/search/?kw=00150912","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-13135211/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-13135211/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135211/131352112006kenkyu_seika_hokoku_gaiyo/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-13135211/131352112006kenkyu_seika_hokoku_gaiyo/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-10-29"}],"displaytype":"detail","filename":"SC-PR-AOKI-K-kaken 2010-3p.pdf","filesize":[{"value":"151.5 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-AOKI-K-kaken 2010-3p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/54646/files/SC-PR-AOKI-K-kaken 2010-3p.pdf"},"version_id":"169e054b-9bd0-4095-b922-37eb6e1b0792"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"ゲージ場の理論の非摂動的解析方法の開発と応用","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ゲージ場の理論の非摂動的解析方法の開発と応用"},{"subitem_title":"Development and Application of Non-Perturbative Method to Analyze Gauge Field Theories","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2827"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-10-29"},"publish_date":"2021-10-29","publish_status":"0","recid":"54646","relation_version_is_last":true,"title":["ゲージ場の理論の非摂動的解析方法の開発と応用"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T14:32:19.915379+00:00"}