Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density
Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density
复制标题
可积 QFT 的热力学引导程序：有限能量密度下的形状因子和相关函数
DOI：
--
复制
发表时间：
2018
影响因子：
5.4
通讯作者：
M. Panfil
中科院分区：
文献类型：
--
作者：
Axel Cortés Cubero;M. Panfil
研究了有限能量密度状态间可积QFT的定域算符的形状因子。例如，这些状态出现在有限温度下，或者来自广义吉布斯系综。我们概括Smirnov的形状因子公理，制定他们的一组粒子/空穴激发的热力学背景之上，而不是真空。我们表明，可以找到精确的形状因子作为这些新公理的最小解。热力学形状因子可用于构造热力学状态的关联函数。两点函数的表达式类似于修正的勒克莱尔-穆萨多公式，但使用了热力学背景下的新形状因子，并对所有奇点进行了适当的正则化。我们研究了热两点函数的不同红外渐近性，并表明通常存在两种不同的制度，表现出大规模的指数衰减，或有效的无隙行为，在长距离，分别。作为一个例子，我们计算了sinh-Gordon模型顶点算子的少激发形式因子。
We study the form factors of local operators of integrable QFT’s between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov’s form factor axioms, formulating them for a set of particle/hole excitations on top of the thermodynamic background, instead of the vacuum. We show that exact form factors can be found as minimal solutions of these new axioms. The thermodynamic form factors can be used to construct correlation functions on thermodynamic states. The expression found for the two-point function is similar to the conjectured LeClair-Mussardo formula, but using the new form factors dressed by the thermodynamic background, and with all singularities properly regularized. We study the different infrared asymptotics of the thermal two-point function, and show there generally exist two different regimes, manifesting massive exponential decay, or effectively gapless behavior at long distances, respectively. As an example, we compute the few-excitations form factors of vertex operators for the sinh-Gordon model.
影响因子：
8.6
作者：
Caux, Jean-Sebastien;Essler, Fabian H. L.
通讯作者：
Essler, Fabian H. L.
AdS/CFT 可集成性回顾：概述
影响因子：
1.2
作者：
Beisert N
通讯作者：
Beisert N