楔形局部性与渐近交换性
Wedge locality and asymptotic commutativity
摘要:
本文研究了将Wightman公理方法与时空非对易性相结合得到的扭曲变形量子场论。我们证明了具有相反符号的变形参数的变形场满足相互渐近交换性的条件,该条件在非定域量子场论中较早地被用作相对定域性的替代。我们还提出了一个改进的证明楔局部化性质发现的变形领域的Grosse和Lechner,我们表明,变形离开的渐近行为的真空期望值在类空方向基本不变。
英文摘要:
In this paper, we study twist deformed quantum field theories obtained by combining the Wightman axiomatic approach with the idea of spacetime noncommutativity. We prove that the deformed fields with deformation parameters of opposite sign satisfy the condition of mutual asymptotic commutativity, which was used earlier in nonlocal quantum field theory as a substitute for relative locality. We also present an improved proof of the wedge localization property discovered for the deformed fields by Grosse and Lechner, and we show that the deformation leaves the asymptotic behavior of the vacuum expectation values in spacelike directions substantially unchanged.
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