Instanton--Antiinstanton pair induced Asymptotics of Perturbation Theory in QCD

Details Instanton--Antiinstanton pair induced Asymptotics of Perturbation Theory in QCD Instanton--Antiinstanton pair induced Asymptotics of Perturbation Theory in QCD

1994-07-22

arxiv.org/abs/hep-ph/9407352v1

Phys.Rev. D51 (1995) 6587-6590

Physics

High Energy Physics

High Energy Physics - Phenomenology

based on talk at International Seminar Quarks-94, 11-18 May 1994, Vladimir, Russia, LATEX, 9pp, BUDKERINP 94-70

Scientific paper

10.1103/PhysRevD.51.6587

The instanton--antiinstanton pair induced asymptotics of perturbation theory expansion for QCD correlators is considered. It is argued that though the true asymptotics is dominated by renormalon, the instanton-induced contribution may dominate in the intermediate asymptotics $n= 5\div 15$. Obtained asymptotic formulae are valid for $N_f \le N_c$. For $N_f =N_c$ the finite nonperturbative expression for instanton--antiinstanton contribution was also found. At $q^2<0$ the imaginary part of correlators in the case $N_f =N_c$ is suppressed like $1/\log (q/\Lambda)$, but the present accuracy of instanton calculations allows to fix it unambiguously. The series of corrections to the instanton induced asymptotics of the order of $\sim (\log(n)/n)^k$ is found.

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