Symmetrization of the Berezin star product and multiple star product method.

DOI10.1088/0305-4470/34/37/319zbMATH Open1042.81049arXivhep-th/0006096OpenAlexW3101496418MaRDI QIDQ2766266

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Publication date: 27 January 2002

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Abstract: We construct a multiple star product method and by using this method, show that integral forms of some star products can be written in terms of the path-integral. This method can be applied to some examples. Especially, the associativity of the skew-symmetrized Berezin star product proposed in cite{SW}, is recovered in large $N$ limit of the multiple star product. We also derive the path integral form of the Kontsevich star product from the multiple Moyal star product. This paper includes some reviews about star products.

Full work available at URL: https://arxiv.org/abs/hep-th/0006096

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