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# Boson decay and the dynamical structure factor for the XXZ chain at finite magnetic field

Abstract : We study the longitudinal dynamical structure factor $S^{zz}(q,\omega)$ for the anisotropic spin-1/2 (XXZ) chain at finite magnetic field using bosonization. The leading irrelevant operators in the effective bosonic model stemming from band curvature describe boson decay processes and lead to a high-frequency tail and a finite width $\gamma_q$ of the on-shell peak for $S^{zz}(q,\omega)$. We use the Bethe ansatz to show that $\gamma_q\sim q^2$ for $q\ll 1$ and to calculate the amplitudes of the leading irrelevant operators in the effective field theory.
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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00266539
Contributor : Jean Michel Maillet Connect in order to contact the contributor
Submitted on : Monday, March 24, 2008 - 3:53:17 PM
Last modification on : Tuesday, November 29, 2022 - 12:08:09 PM

### Identifiers

• HAL Id : ensl-00266539, version 1
• ARXIV : 0705.3312

### Citation

J. Sirker, R. G. Pereira, J. -S. Caux, R. Hagemans, Jean Michel Maillet, et al.. Boson decay and the dynamical structure factor for the XXZ chain at finite magnetic field. 2008. ⟨ensl-00266539⟩

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