Dispersion relations and exact bounds on CFT correlators
Dispersion relations and exact bounds on CFT correlators
复制标题
CFT 相关器的色散关系和精确界限
DOI：
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发表时间：
2020
影响因子：
5.4
通讯作者：
M. Paulos
中科院分区：
文献类型：
--
作者：
M. Paulos
本文导出了限制在传输线上的CFT振荡器的交叉对称色散公式。这些公式等价于我们称之为主泛函的求和规则，主泛函是作用于交叉方程的解析极值泛函。色散关系提供了一个等效的制定的限制的Polyakov引导，因此交叉对称的线。内建的正性性质意味着简单而精确的上下界的一般CFT算子的欧氏截面上的值，这是饱和的广义自由场。除了边界上的相关器，我们应用这种技术来确定新的通用约束的Regge限制的任意CFTs，并获得非常简单和准确的表示的3D伊辛自旋相关器。
We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing equation. The dispersion relations provide an equivalent formulation of the constraints of the Polyakov bootstrap and hence of crossing symmetry on the line. The built in positivity properties imply simple and exact lower and upper bounds on the values of general CFT correlators on the Euclidean section, which are saturated by generalized free fields. Besides bounds on correlators, we apply this technology to determine new universal constraints on the Regge limit of arbitrary CFTs and obtain very simple and accurate representations of the 3d Ising spin correlator.
分散CFT总和规则
影响因子：
5.4
作者：
Caron-Huot, Simon;Mazáč, Dalimil;Rastelli, Leonardo;Simmons-Duffin, David
通讯作者：
Simmons-Duffin, David