论文标题
量子场理论中的位置和一般真空
Locality and General Vacua in Quantum Field Theory
论文作者
论文摘要
我们扩展了一般边界量子场理论（GBQFT）的框架，以实现对逼真的量子场理论的完全局部描述。这需要量化非kähller极化，这些极化通常在洛伦兹空间中的时光曲面上发生，如最近所示。我们以两种方式实现了这一目标：一方面，我们本着代数量子场理论的精神替换了在高空上的观测值。另一方面，我们将GNS构造应用于扭曲的恒星结构，以获得希尔伯特空间，这是由欧几里得方法对量子场理论的反射阳性概念的概念所激发的。结果是，在另一个真空的希尔伯特空间中，真空状态的众所周知的表现是对非kähler真空的广泛概括，尤其是在脉冲式超丘面上的广泛概括。
We extend the framework of general boundary quantum field theory (GBQFT) to achieve a fully local description of realistic quantum field theories. This requires the quantization of non-Kähler polarizations which occur generically on timelike hypersurfaces in Lorentzian spacetimes as has been shown recently. We achieve this in two ways: On the one hand we replace Hilbert space states by observables localized on hypersurfaces, in the spirit of algebraic quantum field theory. On the other hand we apply the GNS construction to twisted star-structures to obtain Hilbert spaces, motivated by the notion of reflection positivity of the Euclidean approach to quantum field theory. As one consequence, the well-known representation of a vacuum state in terms of a sea of particle pairs in the Hilbert space of another vacuum admits a vast generalization to non-Kähler vacua, particularly relevant on timelike hypersurfaces.
