Logarithmic two-point correlation functions from a z =2 Lifshitz model

Logarithmic two-point correlation functions from a z =2 Lifshitz model
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z =2 Lifshitz 模型的对数两点相关函数

DOI:
10.1007/jhep01(2014)108
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发表时间:
2013
影响因子:
5.4
通讯作者:
T. Zingg
T. Zingg
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Zingg

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我们知道Einstein-Proca作用有渐近局部Lifshitz时空作为经典解。对于动力学指数z = 2,两点相关函数的波动周围这样的几何解析推导。结果表明,在所有的拟正规模都位于复频率下半平面的意义下,滞后型振子是稳定的。纵向通道中的相关器表现出的特征让人想起通常在对数场论中获得的结构,即包含不可分解但不可对角化的最高权重表示。这提供了进一步的证据来证明这个模型是具有各向异性标度对称性的对数场论的引力对偶的候选者。
A bstractThe Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z = 2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It is found that the retarded correlators are stable in the sense that all quasinormal modes are situated in the lower half-plane of complex frequencies. Correlators in the longitudinal channel exhibit features that are reminiscent of a structure usually obtained in field theories that are logarithmic, i.e. contain an indecomposable but non-diagonalizable highest weight representation. This provides further evidence for conjecturing the model at hand as a candidate for a gravity dual of a logarithmic field theory with anisotropic scaling symmetry.
DOI: 10.1007/jhep12(2010)002
发表时间: 2010-08
影响因子: 5.4
作者:
Aristomenis Donos;J. Gauntlett
通讯作者: Aristomenis Donos;J. Gauntlett
DOI: 10.1088/1126-6708/2009/09/009
发表时间: 2009-07
影响因子: 5.4
作者:
S. Ross;O. Saremi
通讯作者: S. Ross;O. Saremi