Quantization of Skyrmions

The Skyrme model is a nonlinear classical field theory which models the strong interaction between atomic nuclei. In order to compare the predictions of the Skyrme model with nuclear physics, it has to be quantized. We show, summarizing earlier work, how the rational map ansatz can be employed to calculate the Finkelstein-Rubinstein constraints which arise during quantization. Then we give an overview of current results on the quantum ground states in the Skyrme model. We end with an outlook on future work.