Studies of two dimensional critical stochastic process by stochastic Loewner evolution and conformal field theory

• Project/Area Number: 21740285
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo
• Principal Investigator: SAKAI Kazumitsu 東京大学, 大学院・総合文化研究科, 助教 (10397028)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000); Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 確率的レーブナー方程式 / SLE / 確率過程 / 共形場理論 / 可積分系 / 可解模型 / 厳密解 / ベーテ仮設 / Wess-Zumino-Witten模型 / ベーテ仮説

Research Abstract

We have formulated a multiple version of the Stochastic-Loewner Evolution for conformal field theory with Lie algebra symmetry. Also the structure of spectrum for a multi-species asymmetric simple exclusion process on a ring have been investigated in detail.

Research Products

• [Journal Article] Exact Relaxation Dynamics in the Totally Asymmetric Simple Exact Relaxation Dynamics in the Totally Asymmetric Simple Exclusion Process (2012)
  • Author(s): K. Motegi, K. Sakai, J. Sato
  • Journal Title: Phys. Rev Volume: E85 Pages: 42105-42105
  • Peer Reviewed
• [Journal Article] Thermodynamics properties of quantum sine-Gordon spin chain system KCuGaF6 (2012)
  • Author(s): I. Umegaki, H. Tanaka, T. Ono, M. I. Umegaki, H. Tanaka, T. Ono, M. Oshikawa, K. Sakai
  • Journal Title: Phys. Rev Volume: B85 Pages: 144423-144423
  • Peer Reviewed
• [Journal Article] Thermodynamics spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction (2012)
  • Author(s): J. Y. Lee, X. W. Guan, K. Sakai, M. T. Batchelor, Thermodynamics
  • Journal Title: Phys. Rev Volume: B85 Pages: 85414-85414
  • Peer Reviewed
• [Journal Article] Thermodynamics, spin-charge separation, and correlation functions of spin-1/2 fermions with repulsive interaction (2012)
  • Author(s): J.Y.Lee, X.W.Guan, K.Sakai, M.T.Batchelor
  • Journal Title: Physical Review B Volume: 85 Issue: 8
  • DOI: 10.1103/physrevb.85.085414
  • Peer Reviewed
• [Journal Article] Thermodynamic properties of quantum sine-Grordon spin chain system KCuGaF6 (2012)
  • Author(s): I.Umegaki, H.Tanaka, T.Ono, M.Oshikawa, K.Sakai
  • Journal Title: Physical Review B Volume: 85 Issue: 14 Pages: 144423-19
  • DOI: 10.1103/physrevb.85.144423
  • Peer Reviewed
• [Journal Article] Exact Relaxation Dynamics in the Totally Asymmetric Simple Exclusion Process (2012)
  • Author(s): K.Motegi, K.Sakai, J.Sato
  • Journal Title: Physical Review E Volume: 85 Issue: 4 Pages: 42105-42105
  • DOI: 10.1103/physreve.85.042105
  • Peer Reviewed
• [Journal Article] 可積分系とベーテ仮説 (2011)
  • Author(s): 堺和光
  • Journal Title: 数理科学 Volume: 2月号 Pages: 19-26
• [Journal Article] Thermodynamics and correlation functions of spin-1/2 fermions with repulsive interaction (2011)
  • Author(s): J.Y.Lee, X.W.Guan, K.Sakai, M.T.Batchelor
  • Journal Title: プレプリントarXiv:1104.2352 Volume: (掲載確定)
• [Journal Article] Spectral Properties of Interacting One-Dimensional Spinless Fermions (2010)
  • Author(s): M. Kohno, M. Arikawa, J. Sato, K. Sakai
  • Journal Title: J. Phys. Soc. Jpn Volume: 79 Pages: 43707-43707
  • NAID: 210000108272
  • Peer Reviewed
• [Journal Article] Spectral Properties of Interacting One-Dimensional Spinless Fermions (2010)
  • Author(s): M.Kohno, M.Arikawa, J.Sato, K.Sakai
  • Journal Title: J.Phys.Soc.Jpn. 79 Pages: 43707-43707
  • NAID: 210000108272
  • Peer Reviewed
• [Journal Article] Spectrum in multi-species asymmetric simple exclusion process on a ring (2009)
  • Author(s): C. Arita, A. Kuniba, K. Sakai, T. Sawabe
  • Journal Title: J. Phys. A : Math. Theor Volume: 42 Pages: 345002-345002
  • Peer Reviewed
• [Journal Article] Spectrum in multi-species asymmetric simple exclusion process on a ring (2009)
  • Author(s): C.Arita, A.Kuniba, K.Sakai, T.Sawabe
  • Journal Title: J.Phys.A : Math.Theor. 42 Pages: 345002-345002
  • Peer Reviewed
• [Presentation] WZW模型に付随する多重確率的レーブナー発展 (2012)
  • Author(s): 堺和光
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大(兵庫)
  • Year and Date: 2012-03-26
• [Presentation] WZW模型に付随する多重確率的レーブナー発展 (2012)
  • Author(s): 堺和光
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大学(兵庫)
  • Year and Date: 2012-03-26
• [Presentation] 代数的ベーテ仮説法を用いたASEPのダイナミクスの解析 (2012)
  • Author(s): 茂木康平、堺和光、佐藤純
  • Organizer: 日本物理学会第67回年次大会
  • Place of Presentation: 関西学院大学(兵庫)
  • Year and Date: 2012-03-24
• [Presentation] 一次元量子sine-Gordonスピン系KCuGaF6における励起ギャップの磁場依存性 (2011)
  • Author(s): 梅垣いづみ,田中秀数,小野俊雄,押川正毅,堺和光
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 富山大学(富山)
  • Year and Date: 2011-09-22
• [Presentation] Dynamical correlation functions of the XXZ model at finite temperature (2011)
  • Author(s): K. Sakai
  • Organizer: Workshop on correlation functions of quantum integrable models
  • Place of Presentation: ブルゴーニュ大学(ディジョン:フランス)
  • Year and Date: 2011-09-09
• [Presentation] Stochastic Loewner Evolutions with Lie algebraic symmetries (2011)
  • Author(s): K. Sakai
  • Organizer: Infinite Analysis 11-Frontier of Integrability
  • Place of Presentation: 東京大学(東京)
  • Year and Date: 2011-07-27
• [Presentation] Stochastic Loewner Evolutions with Lie algebraic symmetries (2011)
  • Author(s): K.Sakai
  • Organizer: Infinite Analysis 11～Frontier of Integrability～
  • Place of Presentation: 東京大学(東京)
  • Year and Date: 2011-07-27
• [Presentation] Wess-Zumino-Witten模型に付随するSLE (2010)
  • Author(s): 堺和光
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 大阪府立大学(大阪)
  • Year and Date: 2010-09-24
• [Presentation] 一次元量子スピン系KCuGaF_6の比熱とsine-Gordon理論 (2010)
  • Author(s): 梅垣いづみ、小野俊雄、田中秀数、押川正毅、堺和光
  • Place of Presentation: 大阪府立大学(大阪)
  • Year and Date: 2010-09-23
• [Presentation] Wess-Zumino-Witten 模型に付随するSLE (2010)
  • Author(s): 堺和光
  • Organizer: 日本物理学会 秋季大会
  • Place of Presentation: 大阪府立大学
  • Year and Date: 2010-09-23
• [Presentation] Stochastic Loewner evolutions with Lie algebraic symmetries (2010)
  • Author(s): K. Sakai
  • Organizer: The IUPAP 24st, International Conference on Statistical Physics(STATPHYS 24)
  • Place of Presentation: ケアンズ(オーストラリア)
  • Year and Date: 2010-07-19
• [Presentation] Stochastic Loewner evolutions with Lie algebraic symmetries (2010)
  • Author(s): K.Sakai
  • Organizer: The IUPAP 24st, International Conference on Statistical Physics (STATPHYS 24)
  • Place of Presentation: ケアンズ オーストラリア
  • Year and Date: 2010-07-19
• [Presentation] 引力相互作用をもつ1次元フェルミ原子気体の厳密解析 (2010)
  • Author(s): 堺和光
  • Place of Presentation: 岡山大学(岡山)
  • Year and Date: 2010-03-21
• [Presentation] 引力相互作用をもつ1次元フェルミ原子気体の厳密解析 (2010)
  • Author(s): 堺和光
  • Organizer: 日本物理学会 第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-21
• [Presentation] 1次元スピンレスフェルミオン系のスペクトル関数 (2009)
  • Author(s): 有川晃弘、佐藤純、河野昌仙、堺和光
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 熊本大学(熊本)
  • Year and Date: 2009-09-28
• [Presentation] 1次元スピンレスフェルミオン系のスペクトル関数 (2009)
  • Author(s): 有川晃弘, 佐藤純, 河野昌仙, 堺和光
  • Organizer: 日本物理学会 2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-28
• [Remarks]
  • URL: http://researchmap.jp/kazumitsu-sakai