论文标题
对角和霍尔全息电导率双重磁性凝结物
Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles
论文作者
论文摘要
通过采用全息操作员混合技术来处理仪表/重力二元性中的耦合扰动，我可以在数值上计算对角和霍尔交流电导率的真实和想象中的部分，以强耦合的量子磁场理论对磁性单极管的大型浓度二一个。获得的结果表明，先前在文献中得出的结论，即，在三维的三维强烈耦合的量子场理论中消失的全息直流电导率在二维体积磁性单电凝结物上偶联，也适用于二维的二维磁性单电凝结物，也适用于二维和霍尔电导率的计算。因此，建议将磁单波物的凝结作为一种相当通用且可靠的机制，以生成具有零直流电导率的双重耦合量子场理论。还研究了电导率结果上的频率，$θ$ - 角与单极凝结的特征质量尺度之间的相互作用。
By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled quantum field theory dual to a bulk condensate of magnetic monopoles. The results obtained show that a conclusion previously derived in the literature, namely, the vanishing of holographic DC conductivities in 3-dimensional strongly coupled quantum field theories dual to a 4-dimensional bulk magnetic monopole condensate, also applies to the calculation of diagonal and Hall conductivities in the presence of a topological $θ$-term. Therefore, the condensation of magnetic monopoles in the bulk is suggested as a rather general and robust mechanism to generate dual strongly coupled quantum field theories with zero DC conductivities. The interplay between frequency, $θ$-angle and the characteristic mass scale of the monopole condensate on the results for the conductivities is also investigated.
