论文标题
可集成量子场理论中广义吉布斯合奏的Y系统
Y-Systems for Generalised Gibbs Ensembles in Integrable Quantum Field Theory
论文作者
论文摘要
在90年代初期，引入了热力学的伯特Ansatz方法来研究可整合量子场理论的方法。从那时起，人们已经知道，热力学伯特·安萨兹方程可以以$ y $ - 系统的形式重铸。这些$ y $ - 系统具有许多有趣的属性，尤其是在高温限制中，它们的解决方案是可以从中获得紫外线固定点的中心电荷，并且通常是周期性功能，并且与扰动场的尺寸成比例。在这封信中，我们讨论了$ y $ - 系统的推导，当标准热力学伯特bethe ansatz方程被广义版本取代，描述了广义的吉布斯集团。我们表明，对于许多可集成的量子字段理论，有大量不同的广义Gibbs集合，它们共享相同的$ y $系统。
The thermodynamic Bethe ansatz approach to the study of integrable quantum field theories was introduced in the early 90s. Since then it has been known that the thermodynamic Bethe ansatz equations can be recast in the form of $Y$-systems. These $Y$-systems have a number of interesting properties, notably in the high-temperature limit their solutions are constants from which the central charge of the ultraviolet fixed point can be obtained and they are typically periodic functions, with period proportional to the dimension of the perturbing field. In this letter we discuss the derivation of $Y$-systems when the standard thermodynamic Bethe ansatz equations are replaced by generalised versions, describing generalised Gibbs ensembles. We shown that for many integrable quantum field theories, there is a large class of distinct generalised Gibbs ensembles which share the same $Y$-system.
