Pushing the Nambu-Jona-Lasinio soliton and the zero-point energy

Abstract
The authors consider the collective quantization of translational degrees of freedom of the hedgehog soliton in the Nambu-Jona-Lasinio model. They show explicitly that for an O(4)-invariant regularization scheme in Euclidean space-time the translational mass obtained in the perturbative pushing model coincides with the static mass. Zero-point energies for translation and rotation are evaluated numerically. The nucleon mass appears to be around 900 MeV.