标题： Calogero-Sutherland 流体的动态结构因子 显示英文标题

标题： Dynamic structure factor of Calogero-Sutherland fluids

摘要： 具有对称性 W_infinity*{条形 W_无限}的有效扩展共形场论被考虑，该理论描述了 Calogero-Sutherland 模型的热力学极限。 在排斥区域中，手征分量的动力学结构因子被确定，并与自由玻色理论的相应结果进行比较，前提是两者共享同构的希尔伯特空间，但在量子态的时间演化方面有所不同。 在任何情况下，都发现一个仅在单一共振频率处尖锐峰值的响应函数，并讨论了这一结果的物理含义。 此外，提供了此结果与在 Calogero-Sutherland 模型的第一量化形式中获得的相应结果之间的详细比较。 在两个结果重叠的参数区域内发现了完全一致的结果。 这一结果进一步支持了 Calogero-Sutherland 模型的第一和第二量化处理之间的等价性，在这种情况下，第一种形式中的可积性带来的计算优势由第二种形式中的代数结构带来的优势所对应。 显示英文摘要

摘要： The effective extended conformal field theory with symmetry W_infinity*{bar W_infinity} that describes the thermodynamic limit of the Calogero-Sutherland model is considered. The dynamic structure factor of the chiral component in the repulsive regime is determined and compared with the corresponding one of the free bosonic theory, given that both share isomorphic Hilbert spaces but differ in the time evolution of quantum states. In either case, a sharp response function peaked at only one resonant frequency is found, and the physical implications of this outcome are addressed. Furthermore, a detailed comparison between this result and the corresponding one obtained in the first quantized formulation of the Calogero-Sutherland model is provided. Complete agreement in the parameter region in which both results overlap is found. This outcome provides further support to the equivalence between the first and second quantized treatments of the Calogero-Sutherland model, in which the computational advantages from integrability in the first formulation are paralleled by those from the algebraic structure of the second.