THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL

  • The connections between geometric quantization and path integral quantization of bosonic strings are investigated.The Polyakov path integral formulation and its measure are manifestly deduced from the Blattner-Kostant-Sternberg(BKS) kernel of geometric quantization.
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  • [1] J. Scherk, Rev. Mod. Phys .47 (1975),123.[2] A. M. Polyakov,Phys. Lett., 103B (1981) 207; 211.[3] J. Sniatychki, Geometric Quantization and Quantum Mechanics (Springer- Verlag, New York,1980; N. J. M. Woodhouse, Geometric Quantization (Claredon Press, Oxford , UK. 1980).[4] C. Crnkovic and E. Witten, in Newton's Tercentenary Volume, eds., S. Hawking and W. I.Isreal; C. Crnkovic, Nucl. Phys. B288 (1987), 431; Y. Yu, BIHEP preprint, BIHEP-TH-26.
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FEI Shao-Ming and YU Yue. THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL[J]. Chinese Physics C, 1989, 13(4): 334-338.
FEI Shao-Ming and YU Yue. THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL[J]. Chinese Physics C, 1989, 13(4): 334-338. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL

    Corresponding author: FEI Shao-Ming,
  • Zhejiang University,Hangzhou,P.R.China2 Centre of Theoretical Physics,CCASTWorld Lab.,Beijing Institute of High Energy Physics,Academia Sinica

Abstract: The connections between geometric quantization and path integral quantization of bosonic strings are investigated.The Polyakov path integral formulation and its measure are manifestly deduced from the Blattner-Kostant-Sternberg(BKS) kernel of geometric quantization.

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