Holography without translational symmetry
Holography without translational symmetry
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发表时间：
2013-01
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通讯作者：
David Vegh
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作者：
David Vegh
我们提出了一个全息的框架，描述一类强相互作用的量子场论与破缺的平移对称性的质量引力。体引力子被假定有一个洛伦兹破缺质量项作为空间不均匀性的替代。这打破了边界场论中的动量守恒。在有限的化学势下，引力黑洞是渐近反德西特时空中的带电黑洞。在这些系统中的电导率通常表现出德鲁德峰，接近无质量重力极限中的δ函数。此外，光学电导率显示出涌现标度律：|\sigma（\omega）|\近似{A \over \omega^{\alpha}} + B$。这一结果与Horowitz、桑托斯和Tong在系统中引入显式非均匀晶格的结果是一致的。
We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a substitute for spatial inhomogeneities. This breaks momentum-conservation in the boundary field theory. At finite chemical potential, the gravity duals are charged black holes in asymptotically anti-de Sitter spacetime. The conductivity in these systems generally exhibits a Drude peak that approaches a delta function in the massless gravity limit. Furthermore, the optical conductivity shows an emergent scaling law: $|\sigma(\omega)| \approx {A \over \omega^{\alpha}} + B$. This result is consistent with that found earlier by Horowitz, Santos, and Tong who introduced an explicit inhomogeneous lattice into the system.