非常数非对易时空上的楔形局域量子场
Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime
摘要:
在弯曲卷积的框架内,我们使无质量自由标量场变形。变形是通过使用特殊的保角变换的生成元来实现的。研究表明,形变场是楔形局域场。此外,还证明了在特殊的共形算子作用下,形变诱导的时空是非常数非对易的。通过计算坐标的变形交换子来获得不可交换性。
英文摘要:
Within the framework of warped convolutions we deform the massless free scalar field. The deformation is performed by using the generators of the special conformal transformations. The investigation shows that the deformed field turns out to be wedge-local. Furthermore, it is shown that the spacetime induced by the deformation with the special conformal operators is nonconstant noncommutative. The noncommutativity is obtained by calculating the deformed commutator of the coordinates.
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