Gubser Steven S, Rocha Fábio D
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA.
Phys Rev Lett. 2009 Feb 13;102(6):061601. doi: 10.1103/PhysRevLett.102.061601.
We consider zero-temperature solutions to the Abelian Higgs model coupled to gravity with a negative cosmological constant. With appropriate choices of parameters, the geometry contains two copies of anti-de Sitter space, one describing conformal invariance in the ultraviolet, and one in the infrared. The effective speed of signal propagation is smaller in the infrared. Green's functions and associated transport coefficients can have unusual power-law scaling in the infrared. We provide an example in which the real part of the conductivity scales approximately as omega;{3.5} for small omega.
我们考虑与具有负宇宙学常数的引力耦合的阿贝尔希格斯模型的零温度解。通过适当选择参数,几何结构包含两个反德西特空间副本,一个描述紫外区域的共形不变性,另一个描述红外区域的共形不变性。信号传播的有效速度在红外区域较小。格林函数和相关的输运系数在红外区域可能具有不寻常的幂律标度。我们给出一个例子,其中对于小频率ω,电导率的实部近似按ω^{3.5}标度。