3 papers
hep-th2025
Scaling limit of -functions for the invariant inhomogeneous XXZ spin- chain near free fermion point
Gleb A. Kotousov, Sergei L. Lukyanov, Daria A. Shabetnik
At the beginning of the 70's, Baxter introduced a multiparametric generalization of the six-vertex model. This integrable system has been found to exhibit a remarkable variety of c…
hep-th2024
Integrability and renormalizability for the fully anisotropic principal chiral field and its deformations
G. A. Kotousov, D. A. Shabetnik
For the class of dimensional field theories referred to as the non-linear sigma models, there is known to be a deep connection between classical integrability and one-loop re…
math-ph2024
Scaling limit of the ground state Bethe roots for the inhomogeneous XXZ spin- chain
Sascha Gehrmann, Gleb A. Kotousov, Sergei L. Lukyanov
It is known that for the Heisenberg XXZ spin- chain in the critical regime, the scaling limit of the vacuum Bethe roots yields an infinite set of numbers that coincide…