论文标题
在$ n $限制中相互作用的互动dirac费米的紧急双全息描述
Emergent dual holographic description for interacting Dirac fermions in the large $N$ limit
论文作者
论文摘要
我们得出有效的双重全息爱因斯坦 - 马克斯韦尔理论，以递归方式将重新归一化组转换应用于相互作用的迪拉克费米。特别是，我们如何通过分别通过额外维空间的自然出现来描述耦合函数和相应量子场理论的阶参数字段的重新归一化群的重新归一化组流的动态性。最后，我们提出了有关如何以非扰动方式计算相关函数的处方，其中冻结了度量和量规场的量子波动，以引起Einstein-Maxwell的经典场理论，以大$ N $限制在大型$ N $限制中类型。在这里，$ n $是Dirac Fermions的风味变性。该处方与全息偶性猜想相吻合。
We derive an effective dual holographic Einstein-Maxwell theory, applying renormalization group transformations to interacting Dirac fermions in a recursive way. In particular, we show how both background metric tensor and U(1) gauge fields become dynamical to describe the renormalization group flows of coupling functions and order parameter fields of the corresponding quantum field theory through natural emergence of an extra-dimensional space, respectively. Finally, we propose a prescription on how to calculate correlation functions in a non-perturbative way, where quantum fluctuations of both metric and gauge fields are frozen to cause a classical field theory of the Einstein-Maxwell type in the large $N$ limit. Here, $N$ is the flavor degeneracy of Dirac fermions. This prescription turns out to coincide with that of the holographic duality conjecture.
