Application of Field theory to Quantum Gravity and Condensed matter physiss

1996 Fiscal Year Final Research Report Summary

• Project/Area Number: 07044048
• Research Category: Grant-in-Aid for international Scientific Research
• Allocation Type: Single-year Grants
• Section: Joint Research
• Research Institution: Hokkaido Univ.
• Principal Investigator: KAWAMOTO Noboru Department of Physics, Graduate School of Science, Hokkaido University, Professor, 大学院・理学研究科, 教授 (50169778)
• Co-Investigator(Kenkyū-buntansha): DAMGUARD Poul Niels Bohr Institute, ボーア研究所, 助教授 ; PETERSEN Jen ニールス, ボーア研究所, 教授 ; NIELSEN Holger Niels Bohr Institute, ボーア研究所, 教授 ; OLESEN Poul Niels Bohr Institute, ボーア研究所, 教授 ; AMBJORN Jan Niels Bohr Institute, ボーア研究所, 教授 ; SUEHIRO Kazuhiko Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 講師 (60211976) ; SUZUKI Hisao Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 助教授 (20192619) ; NAKAYAMA Ryuichi Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 助教授 (30217947) ; ISHIKAWA Kenzo Dept.of Physics, Graduate School of Science, Hokkaido University, 大学院・理学研究科, 教授 (90159690) ; PETERSEN Jeuslyng Niels Bohr Institute
• Project Period (FY): 1995 – 1996
• Keywords: quantum grarity / tractal / quantum halleffect / string theory / quantization / Super Yang-Mills / Schwinger-Dyson

Research Abstract

This has been a very intensive exchange program. The followings are the collaborations between the members of two groups :
1) Numerical simulations of two-dimensinal lattice quantum gravity for c=-2 model.
2) Lattice gravity for 3-dimensional Ashtekar formalism.
3) Non-critical open strings.
There are further cooperative discussions which may have influenced the following subjects :
1) Quantization of generalized Chern-Simons actions in arbitrary dimensions.
2) Two-dimensional quantum gravity and strings.
3) Quantum hall effects.
4) Non-perturbative aspects of supersymmetric Yang-Mills theories.

Research Products

• [Publications] J.Ambjorn,N.Kawamoto,et.al.: "Quantum geometry of topological gravity" Phys.Lett.B. (in press). (1997)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] N.Kawamoto,E.Ozawa and K.Suehiro: "Quantization of gl (I.IR) generalized Chern-Simons Action in two dimensions" Mod.Phys.Lett.A. (in press). (1997)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] N.Kawakoto,K.Suehiro,T.Tsukioka and H.Umetsu: "Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two-Dimensions" comm.math.phys.(Aubmitted).
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] R.Nakayama and T.Suzuki: "Loop equations with Ising spins either all upor all down in c=1/2 noncritical string theory" Phys.Rev.D54. 3985-3994 (1996)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] J.Ambjorn,K.Hayasaka and R.Nakayama: "Non-critical strings beyond the semi-classical approximation" preprint NBI-HE-97-04,EPHOU-97-002 Feb.1997. (Submitted).
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] R.Nakayama and T.Suzuki: "Integrability of Schwinger-Dyson equations in 2D quantum gravity and C<1 non-critical string field theory" Phys.Lett.B354. 69-77 (1995)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] M.Ikehara,R.Nakayama,et al.: "Anote on string field theory" Prog.thor.phys.supple.118. 241-257 (1995)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] K.Ishikawa,et.al.: "Integer quantum Hall effect with realistic boundary condition : Exoctquantization and breakdown" Phys.Rev.B. 54・24. 17819-17837 (1996)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] K.Ishikawa and N.Maeda: "Flux state in von Neumann Lattices and the Fructional Hall Effect" Prog.Theor.Phys.97.3 (in press). (1997)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Suzuki and T.Masuda: "Integral Equations of Fields on a Rotating Black Hole" Jaurn.of Math.Phys.(in press). (1997)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Suzuki and T.Masuda: "Periods and Prepotential of N=2 SU (2) Super Symmetric Yung-Mills Theory with Mussive Hyper multiplets" hep-th/9609066,E PHOU 96-005. (submitteid).
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Suzuki: "Enhanced Gauge Symmetry in Three-moduli Models of Type-II string and Hypergeometric Series" hep-th/9701094,E PHOU 97-001・.
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] J.Ambjorn, N.Kawamoto, et.al.: "Quantum geometry of topological gravity" Phys.Lett.B. (in press).
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] N.Kawamoto, E.Ozawa and K.Suehiro: "Quantization of gl (1,1R) generalized Chern-Simons Action in two dimensions" Mod.Phys.Letl.A. (in press).
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] N.Kawamoto, K.Suehiro, T.Tsukioka and H.Umetsu: "Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two-Dimensions" Comm.Math.Phys.
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] R.Nakayama and T.Suzuki: "Loop equations with Isingspins either all upor all down in c=1/ moncritical string theory" Phys.Rev.D. 54. 3985-3994 (1996)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] J.Ambjorn, K.Hayasaka and R.Nakayama: "Non-critical strings beyond the semi-classical approximation" preprint EPHOU-917-002.
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] R.Nakayama and T.Suzuki: "Integrability of Schwinger-Dyson equations in 2D quantum grovity and C<1 non-critical string fieed theory" Phys.Lett.B. 354. 69-77 (1995)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] M.Ikehara, R.Nakayama, et.al.: "Anote on string field theory" Prog.theor.phys.supple.118. 241-257 (1995)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] K.Ishikawa, et.al.: "Integer quantum Halleffect with realistic boundary condition : Exact quantization and breakdown" Phys.Rev.B. 54・24. 17819-17837 (1996)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] K.Ishikawa and N.Maeda: "Flux state in von Neumann Lattices and the Fractional Hall Effect" Prog.theor.Phys.97・3 (in press). (1997)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H.Suzuki and T.Masuda: "Integral Equations of Fields on a Rotuting Black Hole" Jour.of Math.Phys.(in press).
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H.Suzuki and T.Masuda: "Periods and Prepotential of N=2 SU (2) Super Symmetric Yang-Mills Theory with Massive Hyper Multi plets" EPHOU 96-005. (sub mitted).
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H.Suzuki: "Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series" EPHOU 97-001. (sub mitted).
  • Description: 「研究成果報告書概要(欧文)」より