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arXiv 0907.1522hep-thmath-phmath.MP
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网络上的有限传播速度和因果自由量子场

Finite propagation speed and causal free quantum fields on networks

Robert Schrader

摘要:

度量图上的拉普拉斯算子产生了克莱因-戈登算子和波算子。研究了Klein-Gordon方程和波动方程的解,建立了有限传播速度。这样就构造了大量的自由量子场,其换位子函数就是Klein-Gordon核。作为有限传播速度的结果,爱因斯坦因果关系(局部交换性)成立。比较与另一种建设的自由领域涉及RT-代数。

英文摘要:

Laplace operators on metric graphs give rise to Klein-Gordon and wave operators. Solutions of the Klein-Gordon equation and the wave equation are studied and finite propagation speed is established. Massive, free quantum fields are then constructed, whose commutator function is just the Klein-Gordon kernel. As a consequence of finite propagation speed Einstein causality (local commutativity) holds. Comparison is made with an alternative construction of free fields involving RT-algebras.

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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