The Skyrme model on a four-dimensional lattice

The SU(2) Skyrme model is formulated on a four-dimensional lattice with the nearest and next-to-nearest neighbor interactions in the action. To establish a continuum limit, the phase structure is studied and the order of phase transition is determined by various methods. Coexistence of two phases and hysteresis effect are observed at the critical point, indicating a first-order phase transition in the parameter space.