Non-perturbative Analysis of Field Theories by Renormalization Group
| Project/Area Number |
08640361
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Kanazawa University |
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Principal Investigator |
TERAO Haruhiko Kanazawa University, Faculty of Science, Assistant Professor, 理学部, 助教授 (40192653)
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| Co-Investigator(Kenkyū-buntansha) |
青木 健一 金沢大学, 自然科学研究科, 助教授 (00150912)
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| Project Period (FY) |
1996 – 1998
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| Project Status |
Completed (Fiscal Year 1998)
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| Budget Amount *help |
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1998: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1996: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Renormlization group / Non-perturbative analysis / Chiral symmetry / Phase transition / Supersymmetry / 場の量子論 / 非摂動 / くりこみ群 / 対称性の自発的破れ / ゲージ理論 / シュウインガー・ダイソン方程式 / はしご近似 / ゲージ不変性 |
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| Research Abstract |
Non-perturbative dynamics of held theories has been one of the most important subject in particle physics. However we cannot help but saying that the present non-perturbative analytic methods are still in a rather poor level. We tried to develop the non-perturbative (exact) renormalization group (RG) as such a general method. We studied the formulation of the RG equations and the effective scheme of approximnation. Also we first have applied the non-perturbative RO to dynamical chiral symmetry breaking, which is quite significant phenomena in particle physics to be clarified, and developed the scheme of analysis. The non-perturbative phenomena like instanton effects have also analyzed through the non-perturbative RG method by studying the quantum mechanical models. As by-products, it has been found that the RG method is able to capture the famous spontaneous supersymmetry breaking.
On the other hand we studied the non-perturbative dynamics in supersymmetric gauge thories. Especially we have clarified the several physical properties of N=2 supersymmetric QCD vacua ; symmetry breaking, CP symmetry, theta angle dependence, charges of dyons and so on.
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Report
(4 results)
Research Products
(16 results)
