论文标题
Wilsonian重新归一化作为量子通道和固定点的可分离性
Wilsonian Renormalization as a Quantum Channel and the Separability of Fixed Points
论文作者
论文摘要
我们表明，重新归一化组（RG）的Wilsonian公式定义了作用于量子场理论的动量空间密度矩阵的量子通道。 RG的这些信息理论属性使我们能够在固定点上为理论真空带来显着的后果：它们之间没有动量量表之间的纠缠。我们的结果可以理解为源自此类理论的规模对称性，并导致对基态形式和动量空间操作员的期望值的限制。
We show that the Wilsonian formulation of the renormalization group (RG) defines a quantum channel acting on the momentum-space density matrices of a quantum field theory. This information theoretical property of the RG allows us to derive a remarkable consequence for the vacuum of theories at a fixed point: they have no entanglement between momentum scales. Our result can be understood as deriving from the scale symmetry of such theories and leads to constraints on the form of the ground state and on expectation values of momentum space operators.
