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

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abstract

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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hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Gluon mass and small-x dynamics in hadrons

hep-th · 2026-06-28 · unverdicted · novelty 5.0

Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.

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  • Gluon mass and small-x dynamics in hadrons hep-th · 2026-06-28 · unverdicted · none · ref 56 · internal anchor

    Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.