Universal weak coupling limit in (2+1)-dimensionalSU(2) lattice gauge theory

Mass gaps and wave functions in (2+1)-dimensionalSU (2) lattice gauge theory (no quarks) are investigated. Starting with lattice Hamiltonians possessing exactly known ground states and the correct naive continuum limit, it is possible to reach the very deep weak-coupling region. Using variational approximation and rescaling all parameters with the help of the dimensionful coupling constantg ², we gain a formulation that is independent of the special choice of the Hamiltonian in the weak-coupling limit. The mass gap can be calculated and a kind of wave function for excited states obtained.