Form factors and correlation functions of $$ \textrm{T}\overline{\textrm{T}} $$-deformed integrable quantum field theories
Form factors and correlation functions of $$ \textrm{T}\overline{\textrm{T}} $$-deformed integrable quantum field theories
复制标题
$$ extrm{T}overline{ extrm{T}} $$变形可积量子场论的形状因子和相关函数
DOI：
10.1007/jhep09(2023)048
复制
发表时间：
2023
影响因子：
5.4
通讯作者：
Castro-Alvaredo O
中科院分区：
文献类型：
--
作者：
Castro-Alvaredo O
微扰量子场论的研究是一个活跃的研究领域，与可积量子场论的散射理论、广义吉布斯系综和弦理论的基本方面有着深刻的联系。这些理论的许多特征，如基态能量的特殊行为和散射矩阵的形式，已经在文献中得到了研究。然而，到目前为止，很少有研究从外形因素程序的角度来探讨这些理论。从散射理论的角度来看，孔径扰动（及其高自旋版本）的影响是由CDD因子编码在两体散射矩阵的普遍变形中。那么很自然地要问这些扰动是如何影响形状因子方程的，更一般地说，是如何影响形状因子程序的。在本文中，我们讨论了自由理论的这个问题，尽管我们的一些结果可以推广得更普遍。我们证明了形式因子方程具有一般解，以及这些解如何帮助我们研究受无关算子扰动的理论中短距离相关函数的不同行为。
The study of-perturbed quantum field theories is an active area of research with deep connections to fundamental aspects of the scattering theory of integrable quantum field theories, generalised Gibbs ensembles, and string theory. Many features of these theories, such as the peculiar behaviour of their ground state energy and the form of their scattering matrices, have been studied in the literature. However, so far, very few studies have approached these theories from the viewpoint of the form factor program. From the perspective of scattering theory, the effects of aperturbation (and higher spin versions thereof) is encoded in a universal deformation of the two-body scattering matrix by a CDD factor. It is then natural to ask how these perturbations influence the form factor equations and, more generally, the form factor program. In this paper, we address this question for free theories, although some of our results extend more generally. We show that the form factor equations admit general solutions and how these can help us study the distinct behaviour of correlation functions at short distances in theories perturbed by irrelevant operators.