标题： 黎曼-希尔伯特方法在李-林纳德模型中斯拉沃夫重叠的研究 显示英文标题

标题： A Riemann-Hilbert Approach to Slavnov Overlaps in the Lieb-Liniger model

摘要： 我们提供一种方法，使用黎曼-希尔伯特问题的最陡下降法来计算李布-林尼格模型中的斯拉沃诺夫重叠。 为此，我们采用马茨奥-科斯托夫对斯拉沃诺夫重叠的表示，写出相应预解式的积分方程，然后将该方程表示为黎曼-希尔伯特问题。 我们通过计算$c\to\infty$极限下的安德森正交性灾难来证明该方法的有效性和适用性，该极限对应于自由费米子。 显示英文摘要

摘要： We provide a method to compute Slavnov overlaps in the Lieb-Liniger model using the steepest descent method of the Riemann-Hilbert problem. To do so, we employ the Matsuo-Kostov Representation of the Slavnov overlaps to write an integral equation for the respective resolvent, and then represent this equation as a Riemann-Hilbert problem. We demonstrate the validity and applicability of the method by computing the Anderson orthogonality catastrophe in the $c\to\infty$ limit, corresponding to free fermions.