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Thermodynamic geometry of holographic superconductors

机译:全息超导体的热力学几何

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We obtain the thermodynamic geometry of a ( 2 + 1 ) dimensional strongly coupled quantum field theory at a finite temperature in a holographic setup, through the gauge/gravity correspondence. The bulk dual gravitational theory is described by a ( 3 + 1 ) dimensional charged AdS black hole in the presence of a massive charged scalar field. The holographic free energy of the ( 2 + 1 ) dimensional strongly coupled boundary field theory is computed analytically through the bulk boundary correspondence. The thermodynamic metric and the corresponding scalar curvature are then obtained from the holographic free energy. The thermodynamic scalar curvature characterizes the superconducting phase transition of the boundary field theory.
机译:通过量规/重力对应关系,我们在全息设置中的有限温度下获得了(2 +1)维强耦合量子场论的热力学几何形状。整体双引力理论由存在大量带电标量场的(3 +1)维带电AdS黑洞描述。 (2 + 1)维强耦合边界场理论的全息自由能是通过体边界对应关系进行解析计算的。然后从全息自由能获得热力学度量和相应的标量曲率。热力学标量曲率表征了边界场理论的超导相变。

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