Holographic cosmological backgrounds, Wilson loop (de)confinement and dilaton singularities
Holographic cosmological backgrounds, Wilson loop (de)confinement and dilaton singularities
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全息宇宙学背景、威尔逊环（解）限制和膨胀奇点
DOI：
10.1002/prop.201200072
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Ioannis Papadimitriou
中科院分区：
文献类型：
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作者：
J. Erdmenger;K. Ghoroku;R. Meyer;Ioannis Papadimitriou
我们回顾了在Friedmann-Robertson-Walker背景下，在胶子凝聚和瞬子密度存在或不存在的情况下，对偶到ℳ︁=4SYM理论的全息几何的构造。我们找到了具有任意比例因子的最一般解，并证明了它与拓扑型黑洞是微分同胚的。我们引入了一个含时边界宇宙学常数λ(T)，并在此背景下证明了能量动量守恒。在λ恒定的情况下，分析了时间威尔逊环解禁闭特性。在大多数情况下，威尔逊环限于整个宇宙演化过程。然而，有一个例外情况表明，从早期的解除监禁过渡到后期的监禁。我们对视界的存在或不存在进行分类，这对威尔逊环路具有重要的影响。
We review a construction of holographic geometries dual to ℳ︁ = 4 SYM theory on a Friedmann‐Robertson‐Walker background and in the presence or absence of a gluon condensate and instanton density. We find the most general solution with arbitrary scale factor and show that it is diffeomorphic to topological black holes. We introduce a time‐dependent boundary cosmological constant λ(t) and show energy‐momentum conservation in this background. For constant λ, the deconfinement properties of the temporal Wilson loop are analysed. In most cases the Wilson loop confines throughout cosmological evolution. However, there is an exceptional case which shows a transition from deconfinement at early times to confinement at late times. We classify the presence or absence of horizons, with important implications for the Wilson loop.