Soliton S matrices for the critical A(1)(N-1) chain

Doikou, Anastasia; Nepomechie, Rafael I.

doi:10.1016/S0370-2693(99)00873-4

Soliton S matrices for the critical A(1)(N-1) chain

Anastasia Doikou
(
- Miami U.
)
,
Rafael I. Nepomechie
(
- Miami U.
)

Jun, 1999

12 pages

Published in:

Phys.Lett.B 462 (1999) 121-131

e-Print:

hep-th/9906069 [hep-th]

DOI:

10.1016/S0370-2693(99)00873-4

Report number:

UMTG-219

View in:

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Abstract:

We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.

Note:

12 pages, LaTeX Report-no: UMTG-219

statistical mechanics
model: spin
S-matrix
soliton
Bethe ansatz

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