A Solvable Model in Two-Dimensional Quantum Gravity

  • The solvability of the wave-function in (1+1)-dimensional quantum gravity is studied by introducing a scalar matter field.Similar problems in two-dimensional supergravity model are also considered.
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  • [1] A, M. Polyakov, Mod Phys. Lett., A2(1987), 839;V. G. Knizhnik, A. M. Polyakov, A. B. Zamolodchikov, Mod, Phys. Lett., A3(1988), 819.A. M. Polyakov, A. B. Zamolodchikov, bind. Phys. Lett., A3(1988), 1213.[2] Y. Matsuo, Free Field Realization of 2D Quantum Gavity In The Light Cone Gauge And The Green Function On Torus, Preprint Ru-1989-49.[3] F. David, Mod. Phys. Leett., A3(1988), 1651.[4] J. Distler and H. Kawai, Nucl. Phys., B321(1989), 509.[5] U. Danielsson, Nucl, Phys., B328(1989), 292.[6] J. Polchinski, Nucl. Phys., B324(1989), 123.[7] N. E. Mavromatos and J. L. Miramontes, Regularizing The Functional Integral In 2D-Quantum Gravity Pre-print, CERN=fH5428/1989.[8] T. Banks, M. R. Douglas, N. Seberg and S. H. Shenker, Microscopic and Macroscopic Loops Non-Pettutba-tive Two-Dimensional Gravity, Preprint Ru-1989-50.[9] E. Brezin, M. R. Douglas, V. Kazakov and S. H. Shenket, Phys. Lett., B237(1990), 43.[10] D. J. Gross and A. A. Migdal, Phys. Rev. Lett., 64 (1990), 127.[11] A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Nucl. Phys., B241(1984), 339.[12] J. Bagger, Basic Confotmal Field Theory Preprint, HUTP-1989/A006.[13] H. Verlinde, Nucl. Phys., B337(1990), 652.[14] E. Martinet, Phys. Rev., D30(1984), 1198.[15] C.Teitelboim, Phys. Lett., B126(1983), 41, 46, 49.[16] Witten, Nucl. Phys., B11(1988), 46.[17] V.Moncrief, J. Math. Phys., 30(1989), 2907
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YAN Jun and HU Shi-Ke. A Solvable Model in Two-Dimensional Quantum Gravity[J]. Chinese Physics C, 1991, 15(7): 598-605.
YAN Jun and HU Shi-Ke. A Solvable Model in Two-Dimensional Quantum Gravity[J]. Chinese Physics C, 1991, 15(7): 598-605. shu
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Received: 1900-01-01
Revised: 1900-01-01
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A Solvable Model in Two-Dimensional Quantum Gravity

    Corresponding author: YAN Jun,
  • Department of Physics,Sichuan University,Chengdu

Abstract: The solvability of the wave-function in (1+1)-dimensional quantum gravity is studied by introducing a scalar matter field.Similar problems in two-dimensional supergravity model are also considered.

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