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A nonperturbative study of two-dimensional quartic scalar field theory and three-dimensional compact quantum electrodynamics

Pablo J Marrero, University of Massachusetts Amherst

Abstract

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.

Subject Area

Particle physics

Recommended Citation

Marrero, Pablo J, "A nonperturbative study of two-dimensional quartic scalar field theory and three-dimensional compact quantum electrodynamics" (2001). Doctoral Dissertations Available from Proquest. AAI3027226.
https://scholarworks.umass.edu/dissertations/AAI3027226

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