Quantum theory of the soliton in a nonrigid gauge

We present a quantized theory of the soliton in one space and one time dimension, extending a nonrigid gauge condition first developed by Verschelde for rotating skyrmions. We show that meson wavefunctions in continuum obtained from the background scattering contain zero-mode components. The nonrigid gauge is so defined that all zero-mode components are eliminated from quantum fluctuation. Using the obtained hamiltonian, we calculate meson-soliton scattering amplitudes. We show that the sum of the background scattering amplitude and the perturbative corrections induced by the meson-soliton linear coupling exactly reproduces the Born amplitude calculated in conventional models with an explicit Yukawa coupling. (orig.)