The normalization of the leading IR renormalon in the heavy quark chromomagnetic moment is fixed, enabling hyperasymptotic hyperfine splitting calculations for ground-state B and D mesons and yielding the fitted value hat mu^2_{G,PV} = 0.507(7) GeV^2.
Model-independent determination of the gluon condensate in four-dimensional SU(3) gauge theory
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abstract
We determine the non-perturbative gluon condensate of four-dimensional SU(3) gauge theory in a model independent way. This is achieved by carefully subtracting high order perturbation theory results from non-perturbative lattice QCD determinations of the average plaquette. No indications of dimension two condensates are found. The value of the gluon condensate turns out to be of a similar size as the intrinsic ambiguity inherent to its definition.
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Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.
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The chromomagnetic moment of a heavy quark with hyperasymptotic precision
The normalization of the leading IR renormalon in the heavy quark chromomagnetic moment is fixed, enabling hyperasymptotic hyperfine splitting calculations for ground-state B and D mesons and yielding the fitted value hat mu^2_{G,PV} = 0.507(7) GeV^2.
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Renormalization Group Approach to Confinement
Derives α_S(μ) ≃ Λ_S²/μ² from a scale-invariant gluon condensate via gradient flow, reaching an infrared fixed point consistent with confinement.