Nonperturbative study of superstring and quantum gravity

• Project/Area Number: 18740127
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Ibaraki University
• Principal Investigator: NAGAO Keiichi Ibaraki University, 教育学部, 准教授 (10391731)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥2,740,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000); Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
• Keywords: 素粒子(理論) / 超弦理論 / 行列模型 / 非可換幾何 / 格子ゲージ理論 / 素粒子

Research Abstract

非可換CP2と2次元非可換球面の両方を古典解に持つような8次元の行列模型において、時空とゲージ群の力学的生成と安定性を数値計算による非摂動論的アプローチと1-loopの摂動計算による解析的アプローチの両面から調べ、この行列模型の非摂動ダイナミクスを明らかにした。また、行列模型におけるカイラルフェルミオンの定式化を念頭に、格子ゲージ理論において4+2次元で定式化されているvortex fermionの考察を行った。そして、ゼロモード解は余分の2次元空間には依存せずvortex核の所に一つしか存在しないという結果を得た。

Research Products

• [Journal Article] Erratum to: "Vortex fermion on the lattice"[Nuclear Physics B636 (2002) 264.290] (2008)
  • Author(s): Keiichi Nagao
  • Journal Title: Nuclear Physics B800 Pages: 401-404
  • Peer Reviewed
• [Journal Article] Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry (2008)
  • Author(s): Keiichi Nagao
  • Journal Title: Progress of Theoretical Physics Supplement 171 Pages: 232-235
  • NAID: 110006632535
• [Journal Article] Erratum to : "Vortex fermion on the lattice"[Nuclear Physics B636 (2002) 264-290] (2008)
  • Author(s): Keiichi Nagao
  • Journal Title: Nuclear Physics B 800 Pages: 401-404
  • Peer Reviewed
• [Journal Article] Ginsparg-Wilson Relation and Admissibility Condition in Nonco mmutative Geometry (2008)
  • Author(s): Keiichi Nagao
  • Journal Title: Progress of Theoretical Physics Supplement 171 Pages: 232-235
  • NAID: 110006632535
• [Journal Article] Dynamical aspects of the fuzzy CP2 in the large N reduced model with a cubic term (2006)
  • Author(s): Takehiro Azuma、Subrata Bal、Keiichi Nagao and Jun Nishimura
  • Journal Title: Journal of High Energy Physics 0605:061 Pages: 1-27
  • Peer Reviewed
• [Journal Article] Dynamical aspects of the fuzzy CP^2 in the large N reduced model with a cubic term (2006)
  • Author(s): 東武大, Subrata Bal, 永尾敬一, 西村淳
  • Journal Title: Journal of High Energy Physics JHEP 0605:061 Pages: 27-27
• [Presentation] Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry (2006)
  • Author(s): Keiichi Nagao
  • Organizer: Noncommutative Geometry and Quantum Spacetime in Physics 21st Nishinomiya-Yukawa、Memorial Symposium on Theoretical Physics
  • Place of Presentation: 夙川公民館
  • Year and Date: 2006-11-14
• [Remarks] 茨城大学研究者情報総覧
  • URL: http://info.ibaraki.ac.jp/Profiles/12/0001140/profile.html
• [Remarks] 茨城大学研究者情報総覧
  • URL: http://info.ibaraki.ac.jp/scripts/websearch/index.htm
• [Remarks] 茨城大学研究者情報総覧
  • URL: http://info.ibaraki.ac.jp/scripts/websearch/index.htm