论文标题
JT重力耦合到费米子
JT Gravity Coupled to Fermions
论文作者
论文摘要
我们认为，二维DILATON重力模型都可以从雅各布森的协变量版本的第一定律中得出。然后，我们专门研究JT重力模型，并将其与无质量的费米子搭配。该模型完全可溶于量子场理论，我们提出了该结果的新推导。现场理论模型违反了两个原理，人们可能希望将重力理论强加于四个维度的极端带电黑洞的近乎地平线区域：有限因果钻石的熵有限，并且没有全球保护法。它保留了一定数量的保护法，因为$ ads_2 $蠕虫的每一侧的费米昂状态都不可避免地是热量的。我们描述了模型的截止版本，并具有额外的交互作用，从而解决了这些困难。我们的紫外线完成模型取决于在Minkowski空间中对倒置的振荡器潜力中非相关费用的AKK图。我们认为，使用具有取决于振荡器坐标的温度的密度矩阵来测量振荡器模型的$ z_2 $对称性，并在（几乎）无限振荡器坐标处插入混乱的相互作用，我们获得了一个模型，具有预期的量子量的质量重力的属性，该模型是近乎极端的Blackemal Blackeens Blackeens Blackeens Blacksemens in yrounder Blacksholes in 4 dimens of tour dimens in 4 dimeNs in tour dimends of 4 dimeNs in tour dimens in 4 dimeNs of tour dimeNs in 4 dimeNs of四层。
We argue that two-dimensional dilaton gravity models can all be derived from an analog of Jacobson's covariant version of the first law of thermodynamics. We then specialize to the JT gravity model and couple it to massless fermions. This model is exactly soluble in quantum field theory, and we present a new derivation of that result. The field theory model violates two principles one might want to impose on a quantum theory of gravity describing the near horizon region of an extremal charged black hole in four dimensions: finiteness of the entropy for finite causal diamonds, and the absence of global conservation laws. It preserves an infinite number of conservation laws that one would have expected to be violated, since the fermion state on each side of the $AdS_2$ wormhole is unavoidably thermal. We describe a cutoff version of the model, with extra interactions, which cures these difficulties. Our UV completion of the model depends on the AKK map of non-relativistic fermions in an inverted oscillator potential to Weyl fermions in Minkowski space. We argue that gauging the $Z_2$ symmetry of the oscillator model, using a density matrix with temperature that depends on the oscillator coordinates, and inserting chaotic interactions at (almost) infinite oscillator coordinate, we obtain a model with properties expected of quantum gravity in the near horizon region of an extremal charged black hole in four dimensions.
