# Correlation functions of the half-infinite XXZ spin chain with a triangular boundary

Abstract : The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of correlation functions are proposed using bosonization. Sufficient conditions such that the expressions for triangular boundary conditions coincide with those for diagonal boundary conditions are identified. As an application, summation formulae of the boundary expectation values $\langle \sigma_1^a\rangle$ with $a=z,\pm$ are obtained. Exploiting the spin-reversal property, relations between $n$-fold integrals of elliptic theta functions are extracted.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-00925246
Contributor : Pascal Baseilhac Connect in order to contact the contributor
Submitted on : Tuesday, January 7, 2014 - 5:27:08 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:07 PM

### Identifiers

• HAL Id : hal-00925246, version 1
• ARXIV : 1309.7785

### Citation

Pascal Baseilhac, Takeo Kojima. Correlation functions of the half-infinite XXZ spin chain with a triangular boundary. 2013. ⟨hal-00925246⟩

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