A New Basis Function Approach to 't Hooft-Bergknoff-Eller Equations

Abstract

We analytically and numerically investigate the 't Hooft-Bergknoff-Eller equations, the lowest order mesonic Light-Front Tamm-Dancoff equations for U(N_C) and SU(N_C) gauge theories. We find the wavefunction can be well approximated by new basis functions and obtain an analytic formula for the mass of the lightest bound state. Its value is consistent with the precedent results.

arXiv comment16 pages, 3 figures

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Cited by in corpus (3)

• Massless QCD_2 From Current Constituents
• Mass decomposition of the pion in the 't Hooft model
• Mass formula for 2 dimensional flavorful mesons