Generic boundary scattering in the open XXZ chain

Anastasia Doikou

doi:10.1016/j.physleta.2008.03.056

Generic boundary scattering in the open XXZ chain

Anastasia Doikou

Research output: Contribution to journal › Article › peer-review

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Abstract

The open critical XXZ spin chain with a general right boundary and a trivial diagonal left boundary is considered. Within this framework we propose a simple computation of the exact generic boundary S-matrix (with diagonal and non-diagonal entries), starting from the `bare' Bethe ansatz equations. Our results coincide with the ones obtained by Ghoshal and Zamolodchikov, after assuming suitable identifications of the bulk and boundary parameters.

Original language	English
Pages (from-to)	4144–4150
Number of pages	7
Journal	Physics Letters A
Volume	372
Issue number	23
DOIs	https://doi.org/10.1016/j.physleta.2008.03.056
Publication status	Published - 2 Jun 2008

Keywords

math-ph
cond-mat.stat-mech
hep-th
math.MP
nlin.SI

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10.1016/j.physleta.2008.03.056

Cite this

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title = "Generic boundary scattering in the open XXZ chain",

abstract = "The open critical XXZ spin chain with a general right boundary and a trivial diagonal left boundary is considered. Within this framework we propose a simple computation of the exact generic boundary S-matrix (with diagonal and non-diagonal entries), starting from the `bare' Bethe ansatz equations. Our results coincide with the ones obtained by Ghoshal and Zamolodchikov, after assuming suitable identifications of the bulk and boundary parameters.",

keywords = "math-ph, cond-mat.stat-mech, hep-th, math.MP, nlin.SI",

author = "Anastasia Doikou",

note = "14 pages, Latex. Added comments and references. To appear in PLA",

year = "2008",

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AU - Doikou, Anastasia

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PY - 2008/6/2

Y1 - 2008/6/2

N2 - The open critical XXZ spin chain with a general right boundary and a trivial diagonal left boundary is considered. Within this framework we propose a simple computation of the exact generic boundary S-matrix (with diagonal and non-diagonal entries), starting from the `bare' Bethe ansatz equations. Our results coincide with the ones obtained by Ghoshal and Zamolodchikov, after assuming suitable identifications of the bulk and boundary parameters.

AB - The open critical XXZ spin chain with a general right boundary and a trivial diagonal left boundary is considered. Within this framework we propose a simple computation of the exact generic boundary S-matrix (with diagonal and non-diagonal entries), starting from the `bare' Bethe ansatz equations. Our results coincide with the ones obtained by Ghoshal and Zamolodchikov, after assuming suitable identifications of the bulk and boundary parameters.

KW - math-ph

KW - cond-mat.stat-mech

KW - hep-th

KW - math.MP

KW - nlin.SI

U2 - 10.1016/j.physleta.2008.03.056

DO - 10.1016/j.physleta.2008.03.056

M3 - Article

SN - 0375-9601

VL - 372

SP - 4144

EP - 4150

JO - Physics Letters A

JF - Physics Letters A

IS - 23

ER -

Generic boundary scattering in the open XXZ chain

Abstract

Keywords

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