A closed form expression for the causal set d’Alembertian
A closed form expression for the causal set d’Alembertian
复制标题
达朗贝尔因果集的封闭形式表达式
DOI：
10.1088/0264-9381/31/9/095007
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发表时间：
2013
影响因子：
3.5
通讯作者：
L. Glaser
中科院分区：
文献类型：
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作者：
L. Glaser
最近，在d维因果集时空中近似达朗伯算子的洛伦兹不变算子的定义被提出。该算子包含几个与维数有关的常数，这些常数已在d = 2，.，7时确定。在本说明中，我们推导出这些常数的封闭形式的表达式，这是有效的所有维度。利用这些，我们证明了因果集行动在任何层面上可以通过这个离散的达朗伯定义，与一个独立的维度前因子。
Recently a definition for a Lorentz invariant operator approximating the d’Alembertian in d-dimensional causal set spacetimes has been proposed. This operator contains several dimension-dependent constants which have been determined for d = 2, …, 7. In this note we derive closed form expressions for these constants, which are valid in all dimensions. Using these we prove that the causal set action in any dimension can be defined through this discrete d’Alembertian, with a dimension independent prefactor.