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We show that Quantum-Monte-Carlo calculations of the dynamic structure factor of the isotropic spin-1/2 antiferromagnetic chain at intermediate temperatures corroborate a picture of diffusive spin dynamics at finite frequencies in the low-energy long wave-length limit and are in good agreement with recent predictions for this by J.
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R. G. Pereira, private communication: while the authors of manuscript ref. [ 19 ] did not display this, such renormalization is assumed in their analysis
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Fits performed using Mathematica ® {}^{\text{\textregistered}}
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A. Klümper, private communication
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For a different QMC approach, not suited to clarify the role of γ \gamma in σ ( q , ω n ) \sigma(q,\omega_{n}) see ref. [ 19 ]
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