论文标题
关于共形场理论中四点函数的灯芯旋转
On the Wick Rotation of the Four-point Function in Conformal Field Theories
论文作者
论文摘要
欧几里得签名中的保形场理论（CFTS）满足了公认的规则，例如保形不变性和收敛的欧几里得运营商产品扩展（OPE）。如今，通常假设CFT相关因子存在，并且在Lorentzian签名中具有各种特性。其中一些属性可能代表额外的假设，如果它们适用于熟悉的统计物理CFT，例如关键的3D ISING模型，这是一个悬而未决的问题。在本论文中，我们澄清说，在四点函数的水平上，欧几里得CFT公理意味着标准的量子场理论公理，例如Osterwalder-Schrader Axioms（在Euclidean）和Wightman Axioms（在Lorentzian中）。
Conformal field theories (CFTs) in Euclidean signature satisfy well-accepted rules, such as conformal invariance and the convergent Euclidean operator product expansion (OPE). Nowadays, it is common to assume that CFT correlators exist and have various properties in the Lorentzian signature. Some of these properties may represent extra assumptions, and it is an open question if they hold for familiar statistical-physics CFTs such as the critical 3d Ising model. In this thesis, we clarify that at the level of four-point functions, the Euclidean CFT axioms imply the standard quantum field theory axioms such as Osterwalder-Schrader axioms (in Euclidean) and Wightman axioms (in Lorentzian).
