Non-diagonal reflection for the non-critical XXZ model

Anastasia Doikou

doi:10.1088/1751-8113/41/19/194007

Non-diagonal reflection for the non-critical XXZ model

Anastasia Doikou

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

1 Citation (Scopus)

Abstract

The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.

Original language	English
Article number	194007
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	19
DOIs	https://doi.org/10.1088/1751-8113/41/19/194007
Publication status	Published - 16 May 2008

Keywords

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

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10.1088/1751-8113/41/19/194007

Cite this

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title = "Non-diagonal reflection for the non-critical XXZ model",

abstract = "The most general physical boundary \$S\$-matrix for the open XXZ spin chain in the non-critical regime (\$\textbackslash{}cosh (\textbackslash{}eta)>1\$) is derived starting from the bare Bethe ansazt equations. The boundary \$S\$-matrix as expected is expressed in terms of \$\textbackslash{}Gamma\_q\$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.",

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N2 - The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.

AB - The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.

KW - hep-th

KW - cond-mat.stat-mech

KW - math-ph

KW - math.MP

KW - nlin.SI

U2 - 10.1088/1751-8113/41/19/194007

DO - 10.1088/1751-8113/41/19/194007

M3 - Article

SN - 1751-8113

VL - 41

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 19

M1 - 194007

ER -

Non-diagonal reflection for the non-critical XXZ model

Abstract

Keywords

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