AI 中文总结
研究低温下全息电导率，通过有效二维作用量处理量子涨落，得出电导率非单调温度依赖，包括先降后升等情况，还估计了一圈贡献，发现量子修正显著改变全息电导率低温行为。
AI 中文摘要
我们重新审视了在非常低的温度下全息电导率的情况，此时近极端、渐近AdS₄对偶黑膜喉部的量子涨落是强耦合的。我们通过一个有效的二维作用量来处理涨落，该作用量捕捉了在1/C尺度下的施瓦西模式的影响。我们的主要结果是电导率具有非单调的温度依赖性：量子修正后的电导率随着温度降低而减小，在(CTₘᵢₙ≃0.023)处达到最小值，并且在(CT≪1)时按(1/√CT)增长。我们还直接从四维引力路径积分估计了电导率的一圈贡献，并在(CT≫1)的区域内与有效的二维描述得到定性一致。我们发现量子修正显著改变了两种方法中全息电导率的低温行为。
英文摘要
We revisit holographic electrical conductivity in the regime of very low temperatures where quantum fluctuations in the throat of the near-extremal, asymptotically AdS$_4$ dual black brane are strongly coupled. We treat the fluctuations via an effective two-dimensional action capturing the effects of the Schwarzian modes at the scale $1/C$. Our main result is a non-monotonic temperature dependence: the quantum-corrected conductivity decreases as the temperature is lowered, reaches a minimum at $(CT_{\mathrm{min}}\simeq 0.023)$, and grows as $(1/\sqrt{CT})$ for $(CT\ll 1)$. We further estimate the one-loop contribution to the conductivity directly from the four-dimensional gravitational path integral and find qualitative agreement with the effective two-dimensional description in the regime $(CT\gg 1)$. We find that quantum corrections substantially modify the low-temperature behavior of the holographic conductivity in both approaches.
Comments35 pages, 9 figures
