Off critical statistical models: Factorized scattering theories and bootstrap program
Off critical statistical models: Factorized scattering theories and bootstrap program
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非临界统计模型：因式分解散射理论和引导程序
DOI：
10.1016/0370-1573(92)90047-4
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
G. Mussardo
中科院分区：
文献类型：
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作者：
G. Mussardo
我们分析了那些源自共形场论最小模型的一些相关扰动的可积统计系统。当仅存在大量激励时，可以根据相对论散射数据有效地表征系统。我们回顾了二维可因式分解 S 矩阵的一般性质，特别强调了自举原理。讨论并通过一些重要的例子说明了守恒流允许自旋和非简并S矩阵的分类程序。充分讨论了最小模型的几个大扰动的散射理论。其中包括Ising模型、三临界Ising模型、Potts模型、非酉最小模型系列M 2, 2n+ 3、非酉模型M 3, 5以及聚合物体系的标度极限。这些大规模可积理论的紫外线极限可以通过热力学 Bethe ansatz 来利用，特别是可以从散射数据中恢复原始共形理论的中心电荷。我们还考虑基于所谓的共形空间截断方法的数值方法，该方法证实了理论结果并允许直接测量散射数据，即自举相互作用中粒子的质量和 S 矩阵。根据形状因子方法讨论了计算非关键相关函数的问题。
We analyze those integrable statistical systems which originate from some relevant perturbations of the minimal models of conformal field theories. When only massive excitations are present, the systems can be efficiently characterized in terms of the relativistic scattering data. We review the general properties of the factorizable S-matrix in two dimensions with particular emphasis on the bootstrap principle. The classificati on program of the allowed spins of conserved currents and of the non-degenerate S-matrices is discussed and illustrated by means of some significant examples. The scattering theories of several massive perturbations of the minimal models are fully discussed. Among them are the Ising model, the tricritical Ising model, the Potts models, the series of the non-unitary minimal models M 2, 2n+ 3, the non-unitary model M 3, 5 and the scaling limit of the polymer system. The ultraviolet limit of these massive integrable theories can be exploited by the thermodynamics Bethe ansatz, in particular the central charge of the original conformal theories can be recovered from the scattering data. We also consider the numerical method based on the so-called conformal space truncated approach which confirms the theoretical results and allows a direct measurement of the scattering data, ie the masses and the S-matrix of the particles in bootstrap interaction. The problem of computing the off-critical correlation functions is discussed in terms of the form-factor approach.