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