Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model

Autor:	António, N. Cirilo, Manojlović, N., Salom, I.
Rok vydání:	2014
Předmět:	Mathematical Physics High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Nuclear Physics B 889 (2014) 87-108
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nuclphysb.2014.10.014
Popis:	We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the corresponding Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the Bethe vectors through the so-called quasi-classical limit. Comment: 31 pages; typos corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.7398 Zobrazit plný text záznamu View this record from Arxiv