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Using Bethe-ansatz solutions, we uncover a well-defined continuum indynamical structure factor $S^{+-}(k,\omega)$ of the spin-1/2 antiferromagneticHeisenberg chain in magnetic fields. It comes from string solutions whichcontinuously connect the mode of the lowest-energy excitations in thezero-field limit and that of bound states of overturned spins from theferromagnetic state near the saturation field. We confirm the relevance to realmaterials through comparisons with experimental results.

Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields