Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Formal Theory
On the origin of the correspondence between classical and quantum integrable theories
M. Rossi* and D. Fioravanti
Full text: pdf
Pre-published on: November 21, 2022
Published on:
Abstract
We exemplify our procedure on how to derive an Ordinary Differential Equation from a quantum system for the case of the quantum sine-Gordon model. In specific, we move from the functional relations and properties satisfied by $Q$-functions and derive a Lax pair, thus reversing the usual construction in the Ordinary Differential Equation/Integrable Model correspondence. 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. We discuss a special case of our construction, in which the classical problem is related to a Painlevé equation, and the massless (conformal) limit. Ostensibly, the whole construction can be modified by introducing moduli and further generalisations.
DOI: https://doi.org/10.22323/1.414.0439
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access