暖p汤与近极值黑洞
Warm p-soup and near extremal black holes
摘要：
我们考虑一个耦合到基本p-膜的D维超引力模型。我们利用引力论证推导了N个近平行膜的低能有效理论。这是一个（p+1）维标量场理论，其中标量表示膜在其横向空间中的位置。我们建议，在一定的温度制度相同的理论描述了一个“汤”的强相互作用膜，给出了一个微观的描述附近的极端黑p-膜。我们使用自然的近似来估计这个汤的能量密度作为物理参数的函数; N，温度，膜张力和引力耦合。我们还用标量的热vev来计算视界半径，它是用膜的自然度规来测量的。对于这两个量，我们发现与相应的超引力黑膜结果一致。令人惊讶的是，在物理参数之外，我们自然能够再现某些非理性因素，如π。我们评论如何这些想法可以解释为什么黑洞热力学出现在规范理论与全息图在有限温度下。
英文摘要：
We consider a model of D-dimensional supergravity coupled to elementary p-branes. We use gravitational arguments to deduce the low energy effective theory of N nearly parallel branes. This is a (p+1)-dimensional scalar field theory, where the scalars represent the positions of the branes in their transverse space. We propose that the same theory in a certain temperature regime describes a `soup' of strongly interacting branes, giving a microscopic description of near extremal black p-branes. We use natural approximations to estimate the energy density of this soup as a function of the physical parameters; N, temperature, brane tension and gravitational coupling. We also characterise the horizon radius, measured in the metric natural to the branes, with the thermal vev of the scalars. For both quantities we find agreement with the corresponding supergravity black brane results. Surprisingly, beyond the physical parameters, we are naturally able to reproduce certain irrational factors such as pi's. We comment on how these ideas may explain why black hole thermodynamics arises in gauge theories with holographic duals at finite temperature.
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