$Q$-Boson model and relations with integrable hierarchies
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929445742313472 |
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| author | Araujo, Thiago |
| author_facet | Araujo, Thiago |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $Q$-Boson model and relations with integrable hierarchies Araujo, Thiago Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 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. |
| title | $Q$-Boson model and relations with integrable hierarchies |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2405.01213 |