arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1802.02045hep-th
收藏

体奇性全息量子复杂性的某些普适性质

On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities

Stefano Bolognesi, Eliezer Rabinovici, Shubho R. Roy

摘要:

我们对类空奇异体引力背景下全息量子复杂性的时间依赖性进行了比较研究。这是通过考虑两个可用的概念的复杂性,一个涉及到最大的空间体积,另一个涉及到经典行动的惠勒-德威特补丁。我们计算并比较了首项和次首项,发现了一些普遍的特征。对于所有类型的奇点研究,这两种定义的复杂性都朝着奇点的方向降低。此外,在有限数量的情况下,两种定义的主导项具有相同的定量行为,并且行为本身对于不同的奇异背景是不同的。下一个主导条款的定量细节,如其特定形式的时间依赖性,被发现是不普遍的。它们在不同的情况下和复杂性的不同整体定义之间是不同的。我们还讨论了计算中固有的一些技术问题。

英文摘要:

We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it to the maximal spatial volume and the other that relates it to the classical action of the Wheeler-de Witt patch. We calculate and compare the leading and the next to leading terms and find some universal features. The complexity decreases towards the singularity for both definitions, for all types of singularities studied. In addition the leading terms have the same quantitative behavior for both definitions in restricted number of cases and the behaviour itself is different for different singular backgrounds. The quantitative details of the next to leading terms, such as their specific form of time dependence, are found not to be universal. They vary between the different cases and between the different bulk definitions of complexity. We also address some technical points inherent to the calculation.

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。

↑