Abstract
We study the longitudinal dynamical structure factor S zz ( q , ω ) 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 γ q of the on-shell peak for S zz ( q , ω ) . We use the Bethe Ansatz to show that γ q ∼ q 2 for q ⪡ 1 and to calculate the amplitudes of the leading irrelevant operators in the effective field theory.
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