一路曲折：从经典力学到量子力学
Twisting all the way: from Classical Mechanics to Quantum Fields
摘要：
我们讨论了由德林费尔德扭曲引起的非对易几何对物理理论的影响。我们系统地变形理论的所有产品和对称性。我们讨论非对易经典力学，特别是它的变形泊松括号，因此时间演化和对称性。然后将扭曲扩展到经典场，然后扩展到这项工作的主要兴趣：量子场。这导致了非对易时空量子化的几何表述，即我们建立了从 *-Poisson括号到 *-Poisson子的非对易对应原理。特别推导了产生算符和湮灭算符之间的对易关系。
英文摘要：
We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss noncommutative classical mechanics, in particular its deformed Poisson bracket and hence time evolution and symmetries. The twisting is then extended to classical fields, and then to the main interest of this work: quantum fields. This leads to a geometric formulation of quantization on noncommutative spacetime, i.e. we establish a noncommutative correspondence principle from *-Poisson brackets to *-commutators. In particular commutation relations among creation and annihilation operators are deduced.
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。
