Abstract
We use the effective Lagrangian approach to study the dynamics of solitons in a one-dimensional easy-plane Heisenberg antiferromagnet in the presence of a strong external in-plane magnetic field $H$ close to a certain critical value ${H}_{c}\ensuremath{\simeq}{(H}_{e}{H}_{a}{)}^{1/2}$ (where ${H}_{e}$ and ${H}_{a}$ are the exchange and anisotropy fields, respectively). We show that the dynamics of internal soliton degrees of freedom is essentially quantum, and they are strongly coupled to the ``translational'' mode of soliton movement. These peculiarities lead to considerable changes in the response functions of the system that can be detected experimentally; we discuss the possibility to observe the signatures of internal soliton modes in ${(\mathrm{C}\mathrm{D}}_{3}{)}_{4}{\mathrm{NMnCl}}_{3}$ (TMMC).
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