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1990 Fiscal Year Final Research Report Summary

Space-Time Independent Formulation of String Theories

Research Project

Project/Area Number 01540247
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionDepartment of Physics Faculty of Science Osaka University

Principal Investigator

KIKKAWA Keiji  Department of Physics Osaka University Professor, 理学部, 教授 (10011545)

Co-Investigator(Kenkyū-buntansha) KUBOTA Takahiro  Department of Physics Osaka University Assistant, 理学部, 助手 (80161678)
Project Period (FY) 1989 – 1990
KeywordsLorentz anomaly / BRST symmetry / PHI^3 model / Instanton / Born-Oppenheimer / Weyl invariance / Virasoro algebra / Light-cone gauge
Research Abstract

We have started our research for constructing the unified theory of fundanmental interactions of elementary particles including gravity on the basis of string theories. Our aim is, in particular, to look for the string theory formulation in such a way that the theory does not depend on a particular background space-time geometry. For this purpose we have set forth with concrete problems. Namely, we clarified mathematically complicated aspects of string theories left untouched so far, gained deep insights into the vacuum structures in the early universe, and tried to extend the stringy symmetries to the off-mass-shell. Let us survey what we have achieved.
1. We analyzed the mechanism of cancellation of the Lorentz anomaly known in the light-cone string field theory. By using the methods of S-matrix approach. And of path integral formalism.
2. we clarified mathematically complicated features of the PHI^3 theory, which has been put forward as a geometry independent formulation. In particula … More r, we proved the invariance under the general coordinate transformation by using the mid-point time prescription.
3. Going back to the original Einstein theory of gravity. We tackled the phase transition problem accompanied by topology change caused by gravitational instantons with no tunneling barrier. This study is expected to serve to scrutinize the vacuum structures in the early universe. We advocated the usefulness of the Born-Oppenheimer method which is supposed to replace the semi-classical approximation .
4. To grasp the connection between the two approaches based on the path integral method and the string field theory. We investigated the concept of "string emission vertex operator" . It has been proved that the requirement of the Weyl invariance the vertex in the first approach is equivalent to the classical equation of motion in the latter. The implications of the BRST symmetry in the field theory approach is investigated in terms of the actual off-shell scattering amplitudes in the path integral approach.
5. A physical interpretation was given of the Virasoro algebra discovered in the two-dimensional matrix models of gravity. Our interpretation is referred to the continuum non-critical string theory.
6. As a byproduct of our research. There is a paper on the algebraic extension of two-dimensional quantum chromodynamics. There is also a comprehensive review article on the light-cone gauge string field theory. Less

  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] K.Kikkawa: "Lorentz Invariance of the String Field Theory in LightーCone Gauge" Proceedings of lst Winter School on Mathematical Physics “Lectures on Mathematical Physics". 17-54 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kikkawa: "Cancellation of the Lorentz Anomaly of String Field Theory in LightーCone Gauge" Nuclear Physics. B335. 677-688 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kikkawa: "Lorentz Invarianca of the LightーCone String Field Theory" Proceedings of the 1990 Summer School for the High Energy Physics and Cosmology. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Maeno: "Geometry Independence of Three String vertices" Physics Letters. B216. 81-86 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Maeno: "Derivation of the Cocycle Factor of Vertex in Closed Bosonic String Field Theory on Torus" Progress of Theoretical Physics. 82. 829-849 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kikkawa: "Gravitational Instantons Revisited" Proceedings of the Symposium“Quarks,Symmetries and Strings". (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kikkawa: "An Algebraic Extension QCD_2" Nuovo Cimento. 103A. 1233-1236 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Maeno: "MidーPoint Quantization and Gauge Fixing of Witten's String Field Theory" (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Maeno: "Canonical Quantization of Witten‘s String Field Theory in the MidーPoint Time Formalism" Physics Letters. B238. 193-198 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Maeno: "Canonical Quantization of Witten's String Field Theory Using MidーPoint LightーCone Time" (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kubota: "The Modified AntiーGhost Insertion Rule and String Emission Vertex Operator" Physics Letters. B230. 57-62 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kubota: "Stringy Symmetry and Ward Identities" (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kubota: "Stringy Symmetry and offーShell Ward Identities" Proceedings of the Symposium“Quarks,Symmetries and Strings". (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kubota: "Renormalization Group Folw and Virasoro Constraints in TwoーDimensional Quantum Gravity" Proceedings of the INS Workshop on“Quantum Gravity and Topology". (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 吉川 圭二: "弦の量子論" 朝倉書店, (133)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K Kikkawa and S. Sawada: "Lorentz Invariance of the string Field Theory in Light-Cone Gauge" Lectures on Math. Phys.17-54 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kikkawa and S. Sawada: "Cancellation of the Lorentz Anomaly of String Field Theory in Light-Cone Gauge" Nucl. Phys.B335. 677-688 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kikkawa: "Lorentz Invariance of the Light-Cone String Field Theory" Proceedings of the 1990 Summer School for the High Energy Physics and Cosmology.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Maeno: "Geometry Independence of Three String Vertices" Phys. Letters. B216. 81-26 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Maeno and H. Takano: "Derivation of Cocycle Factor of Vertex in Closed Bosonic String Field Theory on Torus" Prog. Theor. Phys.82. 829-849 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kikkawa: "Gravitational Instantons Revisited" Proceedings of the Symposium on "Quarks. Symmetries and Strings". (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kunimasa and K. Kikkawa: "An Algebraic Extension of QCD^2" Nuovo Cimento. 103A. 1233-1236 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Maeno: "Mid-Point Quantization and Gauge Fixing of Witten's String Field Theory" preprint. OU-HET-136. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Maeno: "Canonical Quantization of Witten's String Field Theory in the Mid-Point Time Formalism" Phys. Letters. B238. 193-198 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Maeno: "Canonical Quantization of Witten's String Field Theory Using Mid-Point Light Cone Time" preprint, KUNS. 1047. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kubota: "The Modified Anti-Ghost Insertion Rule and String Emission Vertex Operator" Phys. Letters. B230. 57-62 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kubota: "Stringy Symmetry and Ward Identities" preprint. EFI 89-37. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kubota: "Stringy Symmetry and Off-Shell Ward Identities" Proceedings of the Symposium on "Quarks. Symmetries and Strings". (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kubota and Y. X. Cheng: "Renormalization Group Flow and Virasoro Constraints in Two-Dimensional Quantum Gravity" Proceedings of the INS Workshop on "Quantum Gravity and Topology". (1991)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-08-12  

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