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1992 Fiscal Year Final Research Report Summary

Loop calculations of superstring theory and string field theory

Research Project

Project/Area Number 02640212
Research Category

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

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionTOHOKU UNIVERSITY

Principal Investigator

EZAWA Zyuniti  Tohoku University, 理学部, 助教授 (90133925)

Co-Investigator(Kenkyū-buntansha) OKADA Yasuhiro  高エネルギー物理学研究所, 助教授 (20212334)
YOSHIMURA Motohiko  東北大学, 理学部, 教授 (70108447)
Project Period (FY) 1990 – 1992
Keywordssuperstring / topological excitation / fractional statistics / quantum Hall state / Josephson effect / grand unification theory / gravitational collapse / supergravity theory
Research Abstract

(1)Ezawa analyzed the superstring theory perturbatively by using covariantized Feynman-like rules known in the time of the dual resonance model. For this purpose, a new scheme was proposed to insert a certain projector into a propagator to take into account the so-called picture-changing operator. Based on the method the problem of finiteness of the superstring theory was discussed.
(2)Ezawa also analyzed the theory of anyons. Anyons are particles having fractional statistics peculiar to two-dimensional space. First, various properties of topological excitations (vortices) are studied in the anyon system. Then, constructing a field theory of anyons, a new method of analyzing the quantum Hall state in the planar electron system was proposed. By applying the scheme to a double-layer electron system, it was found that the Josephson effect should be observed at a certain Landau-level filling fraction. This implies a possibility of obtaining a new type of superconductivity in a system made of semiconductors. Furthermore, the observation of the Josephson effect turns out to determine the charge of the condensate of the quantum Hall state, which is claimed to be the elementary charge e.
(3)Yoshimura analyzed the two-demensional gravity as a prototype. The proposed model can be quantized semiclassically, and furthermore it can be solved explicitly. Using the solutions a concrete picture of a gravitational collapes is obtained.
(4)Superstring theory leads to certain supergravity or grand unified theories. Okada analyzed the quantum correction made on the Higgs mass through loop corrections due to top quarks and their superpartners in such a theory. A possibility of observing Higgs particles in near-future experiments was also discussed.

  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Z.F.EZAWA: "Dperator formulation of supeerstring multiloop amplitudls" Phys.Rev.D. 42. 2704-2709 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z.F.EZAWA: "Cherm-Simons gauye theovies for the feactional guantum Hall effect hierchy and anyon superconducttttivity" Phys.Rev.B. 43. 2637-2641 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z.F.EZAWA: "Breatjing vortex solitons in monrelativisric Cherm-Simons gauge theory" Phys.Rev.Letters. 67. 411-414 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z.F.EZAWA: "Fielel theony of anyons and frachtional guanyum Hall effects" Phys.Rev.B. 46. 7765-7781 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.YOSHIMURA: "Extendeel inflation Brans-Dicke Dllaton and baryon asymmetry" Phys.Rev.Letters. 66. 1559-1562 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.GOTO: "A constraint on the top guark mass from the Nambu-Goldstone hypothessis on Higgs supermulhiplet." Phys.Rev.D. 46. 4808-4812 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z.F.Ezawa, A.Tezuka, K.Harada and S.Watamura: "Operator formulation of superstring multiloop amplitudes" Phys. Rev. D. 42. 2704-2709 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa and A.Iwazaki: "Chern-Simons gauge theories for the fractional quantum Hall effect hierarchy and anyon superconductivity" Phys. Rev. B. 43. 2637-2641 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa, M.Hotta and A.Iwazaki: "Nonrelativistic Chern-Simons vortex solitons in external magnetic field" Phys. Rev. D. 44. 452-464 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa, M.Hotta and A.Iwazaki: "Breathing vortex solions in nonrelativistic Chern-Simons gauge theory" Phys. Rev. Letters. 67. 411-414 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa, M.Hotta and A.Iwazaki: "Time-Dependent topological Chern-Simons solitons in external magnetic field" Phys. Rev. D. 44. 3906-3910 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa, M.Hotta and A.Iwazaki: "Field theory of anyons and fractional quantum Hall effects" Phys. Rev. B. 46. 7765-7781 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa and A.Iwazaki: "Derivation of Laughlin's wavefunction in anyon system" Mod. Phys. Letters B. 6. 737-745 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa and A.Iwazaki: "Fractional quantum Hall states and Wigner crystal of quasiparticles" J.Phys. Soc. Japan. 61. 4133-4147 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa and A.Iwazaki: "Chern-Simons gauge theory for double-layer electron system" Int. J. Mod. Phys. B. 6. 3205-3234 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.F.Ezawa and A.Iwazaki: "Quantum Hall liquid, Josephson effect and hierarchy in a doublelayer electron system" Phys. Rev. B. 47. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Suzuki and M.Yoshimura: "Fate of initial perturbation in the Jordan-Brans-Dicke gravity" Phys. Rev. D. 43. 2549-2554 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Yoshimura: "Extended inflation, Brans-Dicke dilaton and baryon asymmetry" Phys. Rev. Letters. 66. 1559-1562 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Goto, K.Inoue, Y.Okada and T.Yanagida: "A constraint on the top quark mass from the Nambu-Goldstone hypothesis on Higgs supermultiplets" Phys. Rev. D. 46. 4808-4812 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Moroi and Y.Takeo: "Upper bound of the lightest neutral Higgs mass in extended supersymmetric standard models" Phys. Lett.B295. 73-78 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Goto and Y.Okada: "Nonlinear sigma models and supersymmetry breaking effects in supergravity" Phys. Rev. D. 45. 3636-3640 (1992)

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

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Published: 1994-03-24  

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