Variational Wavefunctions for Non-compact U(1) Lattice Gauge Theory: Comparison with Exact Result

Abstract

Estimates of the ground state wavefunction of (2+ 1 )-dimensional non-compact U (1) Hamiltonian lattice gauge theory are found in terms of variational wavefunctions with up to four parameters. These wavefunctions are compared with the exact ground state as a test of the accuracy of the method.