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A tale of two Bethe ansatze

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Author(s):
Lima-Santos, Antonio ; Nepomechie, Rafael I. ; Pimenta, Rodrigo A.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 28-pg., 2018-04-01.
Abstract

We revisit the construction of the eigenvectors of the single and double-row transfer matrices associated with the Zamolodchikov-Fateev model, within the algebraic Bethe ansatz method. The left and right eigenvectors are constructed using two different methods: the fusion technique and Tarasov's construction. A simple explicit relation between the eigenvectors from the two Bethe ansatze is obtained. As a consequence, we obtain the Slavnov formula for the scalar product between on-shell and off-shell Tarasov-Bethe vectors. (AU)

FAPESP's process: 17/02987-8 - New developments in quantum spin chains
Grantee:Rodrigo Alves Pimenta
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 11/18729-1 - Gravitation and cosmology: structural questions and applications
Grantee:Elcio Abdalla
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 16/50023-5 - Temperley-Lieb spin chains
Grantee:Antonio Lima Santos
Support Opportunities: Regular Research Grants