Normalized Weyl-type *-product on Kähler manifolds
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.
KeywordsNormalization Factor Poisson Bracket Perturbative Expansion Deformation Quantization Path Integral Approach
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- Maxim Kontsevich, “Deformation quantization of Poisson manifolds”, q- alg/9709040.Google Scholar
- Nicolai Reshetikhin and Leon A. Takhtajan, “Deformation Quantization of Kähler Manifolds”, math.QA/9907171.Google Scholar
- 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