论文标题
量子场的变形量化和层析成像表示
Deformation quantization and the tomographic representation of quantum fields
论文作者
论文摘要
构建了变形量化形式主义内量子场的层析成像表示。通过采用Wigner功能，我们获得了与量子场相关的符号断层图。此外，Wigner地图的断层扫描版本使我们能够计算与现场运算符相对应的符号。最后，确定了断层扫描产品的功能积分表示。简要讨论了形式主义在循环量子宇宙学和循环量子重力上的一些可能应用。
The tomographic representation of quantum fields within the deformation quantization formalism is constructed. By employing the Wigner functional we obtain the symplectic tomogram associated with quantum fields. In addition, the tomographic version of the Wigner map allows us to compute the symbols corresponding to field operators. Finally, the functional integral representation of the tomographic star product is determined. Some possible applications of the formalism to loop quantum cosmology and loop quantum gravity are briefly discussed.
