Normalized Weyl-type *-product on Kähler manifolds

  • Takuya Masuda


A new kind of mathematics is thought necessary for a non-perturbative description of the string theory just as Riemannian geometry is indespensable for the description of the theory of general relativity. Non-commutative geometry is one of the strong candidate for it.


Normalization Factor Poisson Bracket Perturbative Expansion Deformation Quantization Path Integral Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Maxim Kontsevich, “Deformation quantization of Poisson manifolds”, q- alg/9709040.Google Scholar
  2. [2]
    Alberto S. Cattaneo and Giovanni Felder, “A path integral approach to the Kontsevich quantization formula, Commun”.Math.Phys. 212, 2000, 591–611.MathSciNetADSMATHCrossRefGoogle Scholar
  3. [3]
    J. E. Moyal, Proc. Cambridge. Phil. Soc. 45, 1949, 99.MathSciNetMATHGoogle Scholar
  4. [4]
    H. J. Groenewold, Physica, 12, 1946, 405–60.MathSciNetADSMATHCrossRefGoogle Scholar
  5. [5]
    Michel Cahen, Simone Gutt and John Rawnsley, Trans. AMS, 337, 1993, 73–98MATHGoogle Scholar
  6. [6]
    Alexander V. Karabegov, Comm. Math. Phys., 180, 1996, 745–755MATHCrossRefGoogle Scholar
  7. Nicolai Reshetikhin and Leon A. Takhtajan, “Deformation Quantization of Kähler Manifolds”, math.QA/9907171.Google Scholar
  8. [8]
    Satoru Saito and Kazunori Wakatsuki, “Symmetrization of Berezin Star Prod- uct and Path Integral Quantization”, hep-th/9912265, Prog. Theor. Phys. 104 No.5, 2000.Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Takuya Masuda
    • 1
  1. 1.Department of PhysicsTokyo Metropolitan UniversityTokyoJapan

Personalised recommendations