Truncated Eigenvalue Equation and Long Wavelength Behavior of Lattice Gauge Theory

The truncated eigenvalue equations of lattice gauge theory are studied using truncation scheme that preserves the continuum limit. The order mixing problem due to the unimodular condition of group is studied. The third-order and the fourth-order results for long wavelength wavefunction and the mass gap of -dimensional theory are presented using various prescriptions for the definition of the order of a graph.