有限温度下一维不可穿透任意子关联函数的大距离渐近行为
Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures
摘要：
计算了有限温度下一维不可穿透任意子的场-场耦合子的大距离渐近行为。在低温下的渐近行为与共形场论的预测一致，并在适当的范围内再现了不可穿透玻色子和自由费米子的已知结果。我们还得到了一个完全刻画两点关联函数的可积偏非线性微分方程组。这个系统与玻色子的系统相同，但有不同的初始条件。
英文摘要：
The large-distance asymptotic behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The asymptotic behavior agrees with the predictions of conformal field theory at low temperatures and reproduces the known results for impenetrable bosons and free fermions in appropriate limits. We have also obtained an integrable system of partial nonlinear differential equations which completely characterizes the 2-point correlation functions. The system is the same as for bosons but with different initial conditions.
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