A nonperturbative study of two-dimensional quartic scalar field theory and three-dimensional compact quantum electrodynamics
We studied [special characters omitted] theory and the string sector of compact QED 3 using nonperturbative methods. The phase structure of two dimensional [special characters omitted] theory was studied using Modal Field methods. The critical coupling strength and the critical exponent β were determined for various values of the momentum cutoff and box sizes. The asymptotic value of the critical coupling was found to be 2.5 ± 0.2. The low energy spectrum of the string sector of compact QED3 on the lattice was studied using Diagonalization/Monte Carlo techniques for various lattice sizes. The lattice potential and the string tension for the axial and the diagonal strings were also studied.