论文标题
关于双锥的模块化操作员的质量依赖性
On the mass dependence of the modular operator for a double cone
论文作者
论文摘要
我们提出了一个在线性量子场中的局部亚代构桥的tomita-takesaki模块化操作员的数值近似方案，该操作员在一个粒子水平上工作。这将应用于（1 + 1） - 和（3 + 1）维度的Minkowski SpaceTime的巨大标量无标度场的真空扇区中的双锥体的局部子空间，并使用位置空间中的时间0数据进行了离散化。对于楔形区域，模块化发生器的一个组成部分是众所周知的，是质量独立的乘法算子。我们的结果强烈表明，对于双锥体，相应的成分至少接近乘法算子，但它取决于质量和角动量。
We present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to the local subspaces for double cones in the vacuum sector of a massive scalar free field in (1 + 1)- and (3 + 1)-dimensional Minkowski spacetime, using a discretization of time-0 data in position space. In the case of a wedge region, one component of the modular generator is well-known to be a mass-independent multiplication operator; our results strongly suggest that for the double cone, the corresponding component is still at least close to a multiplication operator, but that it is dependent on mass and angular momentum.
