Instanton--anti-instanton pair-induced asymptotics of perturbation theory in QCD
- Budker Institute of Nuclear Physics, 630090 Novosibirsk (Russian Federation)
The instanton--anti-instanton pair-induced asymptotics of perturbation theory expansion for QCD correlators is considered. It is argued that though the true asymptotics is dominated by the renormalon, the instanton-induced contribution may dominate in the intermediate asymptotics {ital n}=5--15. The obtained asymptotic formulas are valid for {ital N}{sub {ital f}}{le}{ital N}{sub {ital c}}. For {ital N}{sub {ital f}}={ital N}{sub {ital c}} the finite nonperturbative expression for the instanton--anti-instanton contribution was also found. At {ital q}{sup 2}{lt}0 for {ital N}{sub {ital f}}={ital N}{sub {ital c}} the imaginary part of the correlators is {alpha}{sub {ital s}} times smaller than the real one, but the present accuracy of instanton calculations allows one to fix it unambiguously. The series of corrections to the instanton-induced asymptotics of the order of {similar_to}[ln({ital n})/{ital n}]{sup {ital k}} is found.
- OSTI ID:
- 45716
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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