Critical values of the Yang-Yang functional in the quantum sine-Gordon model
Sergei Lukyanov
TL;DR
This paper investigates the critical values of the Yang-Yang functional in the sine-Gordon quantum field theory, extending known relations and exploring connections to Painleve III solutions in finite volume.
Contribution
It generalizes Fendley-Saleur-Zamolodchikov relations for any sine-Gordon coupling and links the Yang-Yang functional to Painleve III solutions.
Findings
Derived critical values of the Yang-Yang functional for vacuum states.
Extended the Fendley-Saleur-Zamolodchikov relations to all coupling constants.
Connected the functional analysis to solutions of Painleve III equation.
Abstract
The critical values of the Yang-Yang functional corresponding to the vacuum states of the sine-Gordon QFT in the finite-volume are studied. Two major applications are discussed: (i) generalization of Fendley-Saleur-Zamolodchikov relations to arbitrary values of the sine-Gordon coupling constant, and (ii) connection problem for a certain two-parameter family of solutions of the Painleve III equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.