Genetic Algorithm for Lattice Gauge Theory. on SU(2) and U(1) on 4 dimensional lattice, how to hitchhike to thermal equilibrium state

Applying Genetic Algorithm for the Lattice Gauge Theory is formed to be an effective method to minimize the action of gauge field on a lattice. In 4 dimensions, the critical point and the Wilson loop behaviour of SU(2) lattice gauge theory as well as the phase transition of U(1) theory have been studied. The proper coding methodi has been developed in order to avoid the increase of necessary memory and the overload of calculation for Genetic Algorithm. How hichhikers toward equlibrium appear against kidnappers is clarified.