论文标题
关于集成QFT中指数域的状态
On the status of pointlike fields in integrable QFTs
论文作者
论文摘要
在量子场理论的可集成模型中，通常通过Bootstrap-Formfactor程序构建本地场。但是，在这种情况下，尚不清楚其$ n $点功能的收敛性。一种替代方法使用完全收敛的表达式，用于在空间楔形中具有较弱的定位属性的字段，并从那里推论有界区域中可观察物的存在，但几乎没有关于其明确形式的信息。我们提出了一种新的混合构造：我们旨在描述尖端的局部量子场；但是，我们没有展示其$ n $点的功能并验证Wightman Axioms，而是将它们确定为封闭的操作员，与当地的von Neumann代数网络相关，这是从楔形区域中众所周知的。这表明至少在Ising模型中起作用。
In integrable models of quantum field theory, local fields are normally constructed by means of the bootstrap-formfactor program. However, the convergence of their $n$-point functions is unclear in this setting. An alternative approach uses fully convergent expressions for fields with weaker localization properties in spacelike wedges, and deduces existence of observables in bounded regions from there, but yields little information about their explicit form. We propose a new, hybrid construction: We aim to describe pointlike local quantum fields; but rather than exhibiting their $n$-point functions and verifying the Wightman axioms, we establish them as closed operators affiliated with a net of local von Neumann algebras that is known from the wedge-local approach. This is shown to work at least in the Ising model.
