Speaker
Marco Rossi
(Istituto Nazionale di Fisica Nucleare)
Description
I will discuss a non-perturbative procedure on how to derive a classical systems, in the form of a Lax pair, from a quantum integrable model. I will exemplify the method by starting from the quantum sine-Gordon model and deriving a Lax pair containing the solution of the classical sinh-Gordon equation. The link between quantum and classical theory is provided by a Marchenko-like equation, which descends from the quantum $TQ$-system and is the basis for deriving the Lax pair. This construction reverses and justifies the usual construction in the Ordinary Differential Equation/Integrable Model correspondence.
The talk is based on paper arXiv: 2106.07600 with D.Fioravanti.
Primary authors
Davide Fioravanti
(Istituto Nazionale di Fisica Nucleare)
Marco Rossi
(Istituto Nazionale di Fisica Nucleare)
