论文标题

熵和因果集路径和链接动作

Entropy and the Link Action in the Causal Set Path-Sum

论文作者

Mathur, Abhishek, Singh, Anup Anand, Surya, Sumati

论文摘要

在因果集理论中,重力路径积分被样本空间上的路径 - $ω_n$的$ n $ e元素因果集取代。对于大型$ n $,非字母订单的贡献占主导地位的$ω_n$,因此必须在理论的低能限制中通过适当的动作来驯服。我们扩展了Loomis和Carlip对亚持有双层命令对因果关系路径和途径的贡献的工作,并表明“链接动作”抑制了相同参数范围的主要Kleitman-Rothschild订单。

In causal set theory the gravitational path integral is replaced by a path-sum over a sample space $Ω_n$ of $n$-element causal sets. The contribution from non-manifold-like orders dominates $Ω_n$ for large $n$ and therefore must be tamed by a suitable action in the low energy limit of the theory. We extend the work of Loomis and Carlip on the contribution of sub-dominant bilayer orders to the causal set path-sum and show that the "link action" suppresses the dominant Kleitman-Rothschild orders for the same range of parameters.

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