论文标题

全息造型的舒温格效应和电势具有各向异性

Holographic Schwinger effect and electric instability with anisotropy

论文作者

Li, Si-wen, Luo, Sen-kai, Li, Hao-qian

论文摘要

根据仪表重力二元性,我们在自上而下的全息方法中系统地研究了用各向异性的舒温格效应和电不稳定性。采用了IIB超级重力的各向异性黑褐色和气泡(Soliton)背景,这些背景中的双重理论预计将在有限温度和各向异性理论下分别是各向异性理论。然后进行潜在的分析,我们发现由于各向异性,潜在的屏障与平行和垂直电场相反,并且这种行为与先前关于该系统中各向异性的夸克电位的研究一致。之后,我们通过在数值上求解基本字符串的运动方程来评估对生产率,从而揭示了潜在分析的一致行为。此外,将探针D7-Brane引入大量,以研究电不稳定性。可以通过评估D7-Brane作用的假想部分来获得真空衰减率,该部分再次与我们的潜在分析一致。求解量规场强度在风味河口上的相关约束,我们最终获得了V-A曲线,在平行和垂直方向上显示了电导率的独特行为,这与某些自下而上的和现象学上全息的方法一致。因此,我们认为这项工作可能是研究强烈耦合各向异性系统中的电气特征。

According to the gauge-gravity duality, we systematically study the Schwinger effect and electric instability with anisotropy in a top-down holographic approach. The anisotropic black brane and bubble (soliton) background in IIB supergravity are employed and the dual theories in these backgrounds are expected to be anisotropic theory at finite temperature and anisotropic theory with confinement respectively. Then performing the potential analysis, we find due to the anisotropy, the potential barrier behaves oppositely with parallel and perpendicular electric fields, and this behavior agrees with the previous study about the quark potential with anisotropy in this system. Afterwards, we evaluate the pair production rate by solving the equation of motion for a fundamental string numerically which reveals the consistent behavior with the potential analysis. Furthermore, the probe D7-brane as flavor is introduced into the bulk in order to investigate the electric instability. The vacuum decay rate can be obtained by evaluating the imaginary part of the D7-brane action which again agrees with our potential analysis. Solving the associated constraint of gauge field strength on the flavor brane, we finally obtain the V-A curve displaying the distinct behavior of the conductivity in parallel and perpendicular direction which is in agreement with some bottom-up and phenomenologically holographic approaches in anisotropic fluid. Accordingly, we believe this work may be remarkable to study the electric features in strongly coupled anisotropic system.

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