论文标题

在非线性电动力学存在下建筑物(1+1)全息超导体

Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics

论文作者

Panotopoulos, Grigoris

论文摘要

在量规/重力二元性的框架中,尤其是$ ads_3/cft_2 $对应关系,我们研究了在Einstein-Power-Maxwell非线性电动动力学的情况下分析双重(1+2)维重力的一维超导体。在探针极限中,我们计算过渡的临界温度是标量场质量的函数。该计算采用雷利 - 里兹变异原理进行分析。与麦克斯韦在更高维度以及(1+3)维二维超级导体的(1+3)二维的爱因斯坦 - 马克斯韦理论的比较也是如此。

In the framework of the gauge/gravity duality, and in particular of the $AdS_3/CFT_2$ correspondence, we study one-dimensional superconductors analyzing the dual (1+2)-dimensional gravity in the presence of the Einstein-power-Maxwell non-linear Electrodynamics. In the probe limit we compute the critical temperature of the transition as a function of the mass of the scalar field. The computation is performed analytically employing the Rayleigh-Ritz variational principle. The comparison with a power Maxwell field in higher dimensions as well as with the (1+3)-dimensional Einstein-Maxwell theory for two-dimensional superconductors is made as well.

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