Symmetrization of the Berezin Star Product and Path-Integral Quantization.

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  • Saito Satoru
    Department of Physics, Tokyo Metropolitan University, Hachiohji 192-0397, Japan
  • Wakatsuki Kazunori
    Department of Physics, Tokyo Metropolitan University, Hachiohji 192-0397, Japan

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We propose a new star product which interpolates between the Berezin and Moyal quantizations. A multiple of this product is shown to reduce to a path-integral quantization in the continuous time limit. In flat space the action becomes that of free bosonic strings. The relation to the Kontsevich prescription is also discussed.

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