标题： 通过时间依赖的热场双态检查复杂度提案 显示英文标题

标题： Check proposals of complexity by time dependent thermofield double states

摘要： 通过计算热场双态的复杂度增长速率，本文检验了基于“复杂度-作用量”(CA)假设和“复杂度-体积”(CV)假设的两种修改全息假设，以及两种量子场论提议，即Fubini-Study度量提议(FS)和Finsler几何提议(FG)。 在早期时间，我们发现FG和CV提议给出线性增加的正增长速率，FS提议给出线性减少的负增长速率，而CA提议给出零增长速率。 在中等时间，CV和FG提议显示增长速率始终为正，但CA和FS提议则不如此。 在晚期时间极限下，CA、CV和FG提议都显示增长速率为$2E/(\pi\hbar)$，但FS提议显示增长速率为零。 显示英文摘要

摘要： By computing the complexity growth rate of thermofield double states, this paper checks two modified holographic conjectures based on the "complexity-action" (CA) conjecture and "complexity-volume" (CV) conjecture, and two quantum field theory proposals, the Fubini-Study metric proposal (FS) and Finsler geometry proposal (FG). At early time, we find that FG and CV proposals give linearly increased positive growth rate, FS proposal gives a linearly decreased negative growth rate and CA proposal gives zero growth rate. At the medium time, CV and FG proposals show the growth rates are always positive but CA and FS proposals do not. At the late time limit, CA,CV and FG proposals all show that growth rate is $2E/(\pi\hbar)$, but FS proposal shows the growth rate is zero.