$Q$-Boson model and relations with integrable hierarchies

Autor:	Araujo, Thiago
Rok vydání:	2024
Předmět:	Mathematical Physics High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Nucl.Phys.B 1006 (2024) 116640
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nuclphysb.2024.116640
Popis:	This work investigates the intricate relationship between the q-boson model, a quantum integrable system, and classical integrable systems such as the Toda and KP hierarchies. Initially, we analyze scalar products of off-shell Bethe states and explore their connections to tau functions of integrable hierarchies. Furthermore, we discuss correlation functions within this formalism, examining their representations in terms of tau functions, as well as their Schur polynomial expansions. Comment: 20 pages; v2: published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.01213 Zobrazit plný text záznamu View this record from Arxiv