Calogero模型中的集体场激发
高能物理 - 理论
2008-02-03 v2
摘要
我们在基于展开的\h\ 集体场方法中考虑大N Calogero模型。出现了Bogomol'nyi极限，相应的半经典构型方程给出了正确的基态能量。利用正交多项式方法，我们找到了对于任意统计参数值，围绕半经典解的密度涨落的激发谱。激发态的波函数被明确地构造为用集体模式表示的Hermite多项式的乘积。对于任意中间统计，两点关联函数以的级数展开形式计算。
引用
@article{arxiv.hep-th/9409191,
title = {Collective-Field Excitations in the Calogero Model},
author = {I. Andrić and V. Bardek and L. Jonke},
journal= {arXiv preprint arXiv:hep-th/9409191},
year = {2008}
}
备注
the two-point correlation function is calculated as a series expansion in one over rho for intermediate statistics