Boundary conditions for metric fluctuations in Lifshitz

Boundary conditions for metric fluctuations in Lifshitz
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Lifshitz 度量波动的边界条件

DOI:
10.1088/0264-9381/30/19/195017
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发表时间:
2013
影响因子:
3.5
通讯作者:
S. Ross
S. Ross
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
T. Andrade;S. Ross

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我们考虑线性化的波动的度量和物质场的Lifshitz背景的量子化,探索替代边界条件的可能性,允许缓慢下降的模式波动。我们发现,对于z > 2,一些线性化波动的缓慢衰减模式是可标准化的,这开辟了考虑替代边界条件的可能性。分析稳定性,我们发现,替代边界条件的动量密度是允许的,但替代边界条件的能量密度导致不稳定的类型,我们最近发现在一个固定的Lifshitz背景上的标量场的类似分析。我们的研究是在简单的大质量矢量模型的背景下进行的,但我们希望得到更一般的结论。
We consider the quantization of linearized fluctuations of the metric and matter fields about a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow fall-off modes to fluctuate. We find that for z > 2, slow fall-off modes for some of the linearized fluctuations are normalizable, which opens up the possibility of considering alternative boundary conditions. Analysing stability, we find that alternative boundary conditions for the momentum density are allowed, but alternative boundary conditions for the energy density lead to an instability of the type we recently discovered in a similar analysis for scalar fields on a fixed Lifshitz background. Our investigation is in the context of the simple massive vector model, but we would expect the conclusions to be more general.
DOI: 10.1088/0264-9381/30/6/065009
发表时间: 2012-12
影响因子: 3.5
作者:
T. Andrade;S. Ross
通讯作者: T. Andrade;S. Ross
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