Does QCD perturbation theory plus condensates resum to the exact answer? · revision history
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- Title
- Does QCD perturbation theory plus condensates resum to the exact answer
- Plain
- QCD predictions combine a divergent power series with small corrections from vacuum condensates. Whether this combination, properly resummed, is complete and unambiguous is unknown.
- Precise
- For the Adler function $D(Q^2)$ of massless QCD, determine whether the perturbative series in $\alpha_s(Q^2)$ together with OPE power corrections (condensates such as $\langle \alpha_s G^2\rangle/Q^4$) forms a resurgent transseries whose median resummation equals the exact function, with each condensate uniquely defined once the summation prescription is fixed.
- Settled by
- A proof in QCD or a controlled large-$N_{f}$ or lattice comparison showing the resummed transseries equals $D(Q^{2})$, or a counterexample term not captured by the OPE.
- Kind
- well-posed
- Answer type
- yes-no
- References
- (empty)
- Literature status
- open
- Status note
- (empty)
- Posed since
- (empty)