Accuracy estimate for a relativistic Hamiltonian approach to bound-state problems in theories with asymptotic freedom

Details Accuracy estimate for a relativistic Hamiltonian approach to bound-state problems in theories with asymptotic freedom Accuracy estimate for a relativistic Hamiltonian approach to bound-state problems in theories with asymptotic freedom

2003-07-22

arxiv.org/abs/hep-th/0307207v1

Acta Phys.Polon. B35 (2004) 723-744

Physics

High Energy Physics

High Energy Physics - Theory

10 pages of latex, 6 eps figures

Scientific paper

Accuracy of a relativistic weak-coupling expansion procedure for solving the Hamiltonian bound-state eigenvalue problem in theories with asymptotic freedom is measured using a well-known matrix model. The model is exactly soluble and simple enough to study the method up to sixth order in the expansion. The procedure is found in this case to match the precision of the best available benchmark method of the altered Wegner flow equation, reaching the accuracy of a few percent.

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