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arXiv 0806.4615hep-thmath-phmath.MPmath.QA
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明星产品(稍微)更容易

Star products made (somewhat) easier

V. G. Kupriyanov, D. V. Vassilevich

摘要:

基于Weyl对称序算子乘积,给出了实平面上任意Poisson结构的形变量子化方法。通过使用变形坐标$\hat x^j$的多重微分表示,我们能够制定一个简单而有效的迭代过程,使我们能够计算四阶星积(并可以扩展到五阶,代价是繁琐但简单的计算)。模的一些上同调问题,我们不考虑在这里,该方法给出了一个明确的和物理友好的描述的星产品。

英文摘要:

We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which based on Weyl symmetrically ordered operator products. By using a polydifferential representation for deformed coordinates $\hat x^j$ we are able to formulate a simple and effective iterative procedure which allowed us to calculate the fourth order star product (and may be extended to the fifth order at the expense of tedious but otherwise straightforward calculations). Modulo some cohomology issues which we do not consider here, the method gives an explicit and physics-friendly description of the star products.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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