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1996 Fiscal Year Final Research Report Summary

Supersymmetric Integrable Theory and String Moedl

Research Project

Project/Area Number 06640392
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

UEMATSU Tsuneo  Kyoto University Faculty of Integrated Human Studies Professor, 総合人間学部, 教授 (80093194)

Project Period (FY) 1994 – 1996
KeywordsIntegrable System / Supersymmetry / N=4 Chiral Superspace / Sine-Gordon Theory / Quantum Space / Duality / Perturbative QCD / Spin Structure Function
Research Abstract

In the present research project, we have investigated the integrable system, that has been developed through the interaction between mathematics and theoretical physics. We started our research by focusing our attention on the structure of the supersymmetric version of the intergrable system and the perturbation theory in the superspace. In the first year, in connection with solvable models, we have studied the supersymmetric sine-Gordon theory in the framework of perturbation theory formulated in superspace. Based on the result which has been obtained for N=2 case, we have examined the possible extension of the sine-Gorden theory to the N=4 case, by applying the N=4 chiral superspace formalism in collaboration with the people at University of Tokyo. The conservation laws at the classical level as well as at the quantum level have been studied utilizing the perturbation theory. Further, we investigated the non-commutative differential calculus for the supersymmetric quatum groups which … More are realized by supersymmetric quantum plane (space). In the Iiterature [1], a review on the quantum space and quantum deformation of space-time symmetry has been given. On the other hand, in the second and the third (last) years of this research project, we have investigated the higher-twist operators, twist-3 and twist-4, which appear in the nucleon's spin structure functions g_1 and g_2, in the framework of the perturbative QCD and the renormalization group method. This was carried out with the people at Hiroshima University. In the last year, based on what we have obtained in the previous year, we studied the duality in the supersymmetric sigma models in collaboration with Dr.C.K.Zachos from the Argonne National Laboratory. We further explored the possble extention to the N=2 case.
In the course of the present research, discussions and communications with the people in the related fields were very useful. Especially, we are very much indebted to the communications with the researchers at University of Tokyo, Hiroshima University, Yokohama National University, and Tokushima University. What we have obtained during this project have been publicized on the occasion of annual meeting of The Japan Physical Society, workshops and seminars at the domestic as well as foreign research Institutes. These results have been published in the journals listed above. Less

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] H. Kawamura (川村浩之): "Target mass effects in QCD Bjorken sum rule" Physics Letters. B343. 346-350 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J. Kodaira (小平治郎): "Spin structure function g_2(X,Q^2) and twist-3 operators in QCD" Physics Letters. B344. 348-354 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J. Kodaira (小平治郎): "More on the Burkhardt-Cottingham sum rule in QCD" Physics Letters. B345. 527-531 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Kawamura (川村浩之): "Target mass corrections to QCD Bjorken sum rule for nucleon spin structure functions" Prog. Theor. Phys. Suppl. 120. 225-230 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T. Curtright: "Geometry and duality in supersymmertric σ-models" Nuclear Physics. B469. 488-512 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J. Kodaira (小平治郎): "QCD corrections to the nucleon's spin structure function g_2(X,Q^2)" Physics Letters. B387. 855-860 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Kawamura (川村浩之): "Renormalization of twist-4 operators in QCD Bjorken and Ellis-Jaffe sum rules" Modern Physics Letters A. 印刷中 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T. Uematsu (植松恒夫): "Higher-twist effects in Spin structure functions" Proceedings Rifen symposium on spin structure of the nucleon “Spin stracture of the nucleon" (World Scientific Co.). 64-68 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kawamura and T.Uematsu: "Target mass effects in QCD Bjorken sum rule" Phys.Lett.B343. 346-350 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Kodaira, Y.Yasui and T.Uematsu: "Spin structure function g_2 (x, Q^2) and twist-3 operators in QCD" Phys.Lett. B344. 348-354 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Kodaira, S.Matsuda, K.Sasaki and T.Uematsu: "More on the Burkhardt-Cottingham sum rule in QCD" Phys.Lett. B345. 527-531 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kawamura and T.Uematsu: "Target mass corrections to QCD Bjorken sum rule for nucleon spin structure functions" Prog.Theor.Phys. Suppl.120. 225-230 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Curtright, T.Uematsu and C.Zachos: "Geometry and duality in supersymmetric sigma-models" Nucl.Phys. B469. 488-512 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Kodaira, Y.Yasui, K.Tanaka and T.Uematsu: "QCD corrections to the nucleon's spin structure function g_2 (x, Q^2)" Phys.Lett.B387. 855-860 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kawamura, T.Uematsu, Y.Yasui and J.Kodaira: "Renormalization of Twist-4 operators in QCD Bjorken and Ellis-Jaffe sum rules" Preprint KUCP-88 Mod.Phys.Lett.A. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Uematsu: "Higher-twist effects in spin structure functions" Proc.Riken Symposium on Spin Structure of the Nucleon, "Spin Structure of the Nucleon" (World Sciefific Co., 1996). 64-68

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

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Published: 1999-03-09  

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