Microcausality in curved space-time
Microcausality in curved space-time
复制标题
弯曲时空的微观因果关系
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
G. Villadoro
中科院分区：
文献类型：
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作者：
S. Dubovsky;Alberto Nicolis;E. Trincherini;G. Villadoro
众所周知，在平坦空间中的洛伦兹不变量子场论中，类空分离局域算符的换位子为零（微因果性）。我们提供了两个不同的论点，表明这是经典理论的因果结构的结果，而不是洛伦兹不变性。特别是，微因果关系在任意弯曲的时空中成立，其中洛伦兹不变性被背景度规明确打破。正如所示的一个明确的计算上的一个圆柱这个属性是相当平凡的费曼图的水平。
It is well known that in Lorentz-invariant quantum field theories in flat space the commutator of spacelike separated local operators vanishes (microcausality). We provide two different arguments showing that this is a consequence of the causal structure of the classical theory, rather than of Lorentz invariance. In particular, microcausality holds in arbitrary curved space-times, where Lorentz invariance is explicitly broken by the background metric. As illustrated by an explicit calculation on a cylinder this property is rather nontrivial at the level of Feynman diagrams.