Deforming the ODE/IM correspondence with $$ \textrm{T}\overline{\textrm{T}} $$
Deforming the ODE/IM correspondence with $$ \textrm{T}\overline{\textrm{T}} $$
复制标题
变形 ODE/IM 与 $$ extrm{T}overline{ extrm{T}} $$ 的对应关系
DOI：
10.1007/jhep03(2023)084
复制
发表时间：
2023
影响因子：
5.4
通讯作者：
Tateo, Roberto
中科院分区：
文献类型：
--
作者：
Aramini, Fabrizio;Brizio, Nicolò;Negro, Stefano;Tateo, Roberto
ODE/IM对应是经典和量子可积模型之间的精确联系。这项工作的主要目的是表明，它仍然有效后扰动双方的对应关系。特别是，我们证明了变形的Lax对的sinh-Gordon模型，从未微扰的一个通过动态变化的坐标，导致相同的Burgers型方程的量子谱流诱导。我们的主要结论具有普遍的有效性，因为分析可以很容易地适应所有已知的ODE/IM的例子，涉及可积量子场论。
The ODE/IM correspondence is an exact link between classical and quantum integrable models. The primary purpose of this work is to show that it remains valid afterperturbation on both sides of the correspondence. In particular, we prove that the deformed Lax pair of the sinh-Gordon model, obtained from the unperturbed one through a dynamical change of coordinates, leads to the same Burgers-type equation governing the quantum spectral flow induced by. Our main conclusions have general validity, as the analysis may be easily adapted to all the known ODE/IM examples involving integrable quantum field theories.