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arXiv 2401.00732hep-th
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逆各向异性催化与复杂性

Inverse anisotropic catalysis and complexity

Ayatollah Boroujerdi University(阿亚图拉·博鲁杰尔迪大学)

Mojtaba Shahbazi, Mehdi Sadeghi

AI总结:

通过全息对偶中的CA提议,研究各向异性对计算复杂度的影响,发现小各向异性下复杂度增长率增加,大各向异性下减少,并提出了与逆各向异性催化相关的改进表示。

摘要:

在这项工作中,通过强耦合规范理论的全息双侧黑膜对偶中的CA提议,考虑了各向异性对计算复杂度的影响。结果表明,由于禁闭-退禁闭相变,存在两种不同行为:随着各向异性的增加,小各向异性下复杂度增长率增加,而大各向异性下复杂度增长率减少。在极端情况下,非常大的各向异性导致复杂度增长率和复杂度本身趋于一致,这意味着在这种情况下,从参考状态到达目标状态无需任何努力即可实现。此外,我们提出$ rac{1}{M} rac{dC}{dt}$比复杂度增长率$ rac{dC}{dt}$更能表示系统的自由度,并展示了它如何与逆各向异性催化相关。另外,我们考虑了与量子淬火对偶的单侧黑膜,并表明无论各向异性值如何,各向异性的增加都会伴随复杂度的减少,这是由于系统没有经历相变。

英文摘要:

In this work the effect of anisotropy on computational complexity is considered by CA proposal in holographic two-sided black brane dual of a strongly coupled gauge theory. It is shown that due to confinement-deconfinement phase transition there are two different behaviors: by increase in anisotropy there would be an increase in complexity growth rate in small anisotropy and a decreases in the complexity growth rate in large anisotropy. In the extreme case the very large anisotropy leads to the unity of the complexity growth rate and complexity itself, it means that in this case getting the target state from the reference state is reachable by no effort. Moreover, we suggest that $\frac{1}{M}\frac{dC}{dt}$ is a better representation of system degrees of freedom rather than the complexity growth rate $\frac{dC}{dt}$ and show that how it is related to inverse anisotropic catalysis. In addition, we consider the one-sided black brane dual to the quantum quench and showed that increase in anisotropy comes with decrease in complexity regardless of the anisotropy value which is due to the fact that the system do not experience a phase transition.

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。

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