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Direct calculation of breather S matrices

Anastasia Doikou and Rafael I Nepomechie

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We formulate a systematic Bethe ansatz approach for computing bound-state (`breather') S matrices for integrable quantum spin chains. We use this approach to calculate the breather boundary S matrix for the open XXZ spin chain with diagonal boundary fields. We also compute the soliton boundary S matrix in the critical regime.


PACS

02.10.Yn Matrix theory

05.45.Yv Solitons

02.30.Ik Integrable systems

MSC

82B23 Exactly solvable models; Bethe ansatz

81U20 S-matrix theory, etc.

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 20 (21 May 1999)

Received 25 January 1999, in final form 17 February 1999



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