论文标题
无质量的模块化汉密尔顿
The massless modular Hamiltonian
论文作者
论文摘要
我们计算真空局部模块化的哈密顿量与空间球区域相关的无标量量量子场理论。我们根据较高的legendre差异操作员在一个粒子希尔伯特空间上具有明确的表达。无质量模块化哈密顿量的二次形式是根据能量密度与抛物线分布的积分表示的。然后，我们获得了波数据包的局部熵的公式。这给出了与自由标量QFT相关的双锥Von Neumann代数上相干状态的真空相对熵。除其他点外，我们还提供了标准子空间设置中模块化哈密顿量的消极特征。
We compute the vacuum local modular Hamiltonian associated with a space ball region in the free scalar massless Quantum Field Theory. We give an explicit expression on the one particle Hilbert space in terms of the higher dimensional Legendre differential operator. The quadratic form of the massless modular Hamiltonian is expressed in terms of an integral of the energy density with the parabolic distribution. We then get the formula for the local entropy of a wave packet. This gives the vacuum relative entropy of a coherent state on the double cone von Neumann algebras associated with the free scalar QFT. Among other points, we provide the passivity characterisation of the modular Hamiltonian within the standard subspace setup.
