Dynamical Locality of the Free Scalar Field
Dynamical Locality of the Free Scalar Field
复制标题
自由标量场的动态局部性
DOI：
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复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. Verch
中科院分区：
文献类型：
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作者：
C. Fewster;R. Verch
动力学定域性（英语：Dynamical locality）是一个局部协变物理理论的条件，主张定域物理的运动学和动力学概念一致。这个条件在arXiv：1106.4785中被引入，在那里它被证明与一个理论在不同时空中描述相同物理学的意义的问题密切相关。在本文中，我们详细地考虑了自由最小耦合克莱因-戈登场的例子，作为经典和量子理论（使用Weyl代数和涂抹场方法）。结果表明，无论是经典的还是量子场论中的，在所有n ≥ 2维的时空中，并允许有200多个连通分量的时空，质量理论都服从动力学定域性。相比之下，无质量理论在任何时空维度都违反了动力学定域性，在经典和量子理论中，由于严格的规范对称性。考虑到这一点（等价地，与无质量流一起工作），在连通时空上的所有维度n ≥ 2中，动力学定域性都被恢复，如果不连通时空是允许的，则在所有维度n ≥ 3中，动力学定域性都被恢复。量子化理论的结果得到了使用一般的结果给出的条件下，动态局部经典辛理论有动态局部量子化。
Dynamical locality is a condition on a locally covariant physical theory, asserting that kinematic and dynamical notions of local physics agree. This condition was introduced in arXiv:1106.4785, where it was shown to be closely related to the question of what it means for a theory to describe the same physics on different spacetimes. In this paper, we consider in detail the example of the free minimally coupled Klein–Gordon field, both as a classical and quantum theory (using both the Weyl algebra and a smeared field approach). It is shown that the massive theory obeys dynamical locality, both classically and in quantum field theory, in all spacetime dimensions n ≥ 2 and allowing for spacetimes with finitely many connected components. In contrast, the massless theory is shown to violate dynamical locality in any spacetime dimension, in both classical and quantum theory, owing to a rigid gauge symmetry. Taking this into account (equivalently, working with the massless current) dynamical locality is restored in all dimensions n ≥ 2 on connected spacetimes, and in all dimensions n ≥ 3 if disconnected spacetimes are permitted. The results on the quantized theories are obtained using general results giving conditions under which dynamically local classical symplectic theories have dynamically local quantizations.
弯曲时空中的Reeh-Schlieder性质
影响因子：
2.4
作者：
K. Sanders
通讯作者：
K. Sanders
DOI：
10.4171/037
发表时间：
2007-03
期刊：
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影响因子：
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作者：
Christian Baer;N. Ginoux;Frank Pfaeffle
通讯作者：
Christian Baer;N. Ginoux;Frank Pfaeffle