自旋Calogero-Sutherland模型的粒子扩散器
Particle Propagator of Spin Calogero-Sutherland Model
摘要：
本文导出了自旋为1/2的Calogero-Sutherland模型的粒子传播子在有限粒子系统和热力学极限下的显式精确表达式。文中还详细推导了热力学极限下的表达式。结合这一结果与早期研究中得到的空穴传播子，我们计算了单粒子格林函数在整个能量和动量空间范围内的谱函数。所得谱函数对一维关联粒子系统表现出幂律奇异性。
英文摘要：
Explicit-exact expressions for the particle propagator of the spin 1/2 Calogero-Sutherland model are derived for the system of a finite number of particles and for that in the thermodynamic limit. Derivation of the expression in the thermodynamic limit is also presented in detail. Combining this result with the hole propagator obtained in earlier studies, we calculate the spectral function of the single particle Green's function in the full range of the energy and momentum space. The resultant spectral function exhibits power-law singularity characteristic to correlated particle systems in one dimension.
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