The r-matrix of the Alday-Arutyunov-Frolov model

Autor(es)

Melikyan, A. ; Weber, G.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 11, p. 42-pg., 2012-11-01.

Resumo

We investigate the classical integrability of the Alday-Arutyunov-Frolov model, and show that the Lax connection can be reduced to a simpler 2 x 2 representation. Based on this result, we calculate the algebra between the L-operators and find that it has a highly non-ultralocal form. We then employ and make a suitable generalization of the regularization technique proposed by Mail let for a simpler class of non-ultralocal models, and find the corresponding r- and s-matrices. We also make a connection between the operator-regularization method proposed earlier for the quantum case, and the Mail let's symmetric limit regularization prescription used for non-ultralocal algebras in the classical theory. (AU)

• Processo FAPESP: 11/20242-3 - A integrabilidade quântica em modelos contínuos e o cálculo de amplitudes de espalhamento
• Beneficiário: Gabriel Weber Martins
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado