Higher particle form factors of branch point twist fields in integrable quantum field theories
Higher particle form factors of branch point twist fields in integrable quantum field theories
复制标题
可积量子场论中分支点扭曲场的更高粒子形状因子
DOI：
10.1088/1751-8113/44/25/255401
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
E. Levi
中科院分区：
文献类型：
--
作者：
O. Castro;E. Levi
本文计算了分支点扭转场的高粒子形态因子。这些场最初是在大质量（1+1）维可积量子场论的背景下描述的，它们的相关函数与双部纠缠熵有关。我们找到了一些形状因子的解析表达式，并检查了这些表达式的一致性，主要是通过在基本的共形场理论中计算相应的扭转场的共形维数。我们发现形状因子方程的解不是唯一的，因此需要使用各种技术来识别与我们感兴趣的分支点扭转场相对应的解。我们进行研究的模型以各种物理量作为能量尺度函数的阶梯模式为特征。由于后者的变化，与这些理论相关的β-函数在深红外线和深紫外线之间的几个点上接近消失。换句话说，重整化群流在最终到达紫外线不动点之前，会接近各个临界点附近。这一特性提供了一种检验高粒子形状因子解一致性的最佳方法，因为在不同能量尺度下，扭曲场保形维的变化只能通过考虑高粒子形状因子对某些相关函数展开的贡献来解释。
In this paper we compute higher particle form factors of branch point twist fields. These fields were first described in the context of massive (1+1)-dimensional integrable quantum field theories and their correlation functions are related to the bi-partite entanglement entropy. We find analytic expressions for some form factors and check those expressions for consistency, mainly by evaluating the conformal dimension of the corresponding twist field in the underlying conformal field theory. We find that solutions to the form factor equations are not unique so various techniques need to be used to identify those corresponding to the branch point twist field we are interested in. The models for which we carry out our study are characterized by staircase patterns of various physical quantities as functions of the energy scale. As the latter is varied, the β-function associated with these theories comes close to vanishing at several points between the deep infrared and deep ultraviolet regimes. In other words, renormalization group flows approach the vicinity of various critical points before ultimately reaching the ultraviolet fixed point. This feature provides an optimal way of checking the consistency of higher particle form factor solutions, as the changes on the conformal dimension of the twist field at various energy scales can only be accounted for by considering higher particle form factor contributions to the expansion of certain correlation functions.