Normalized Weyl-type $\star$-product on Kähler manifolds

Details Normalized Weyl-type $\star$-product on Kähler manifolds Normalized Weyl-type $\star$-product on Kähler manifolds

2000-10-02

arxiv.org/abs/hep-th/0010009v3

Physics

High Energy Physics

High Energy Physics - Theory

to be published in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732300002760

We define a normalized Weyl-type $\star$-product on general K\"{a}hler manifolds. Expanding this product perturbatively we show that the cumbersome term, which appears in a Berezin-type product, does not appear at least in the first order of $\hbar$. This means a normalization factor, which is introduced by Reshetikhin and Takhtajan for a Berezin-type product, is unnecessary for our Weyl-type product at that order.

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