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A nonperturbative study of two-dimensional quartic scalar field theory and three-dimensional compact quantum electrodynamics
We studied f42 theory and the string sector of compact QED 3 using nonperturbative methods. The phase structure of two dimensional f4 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. ^
Physics, Elementary Particles and High Energy
Pablo J Marrero,
"A nonperturbative study of two-dimensional quartic scalar field theory and three-dimensional compact quantum electrodynamics"
(January 1, 2001).
Electronic Doctoral Dissertations for UMass Amherst.