Compelling evidence of renormalons in QCD from high order perturbative expansions.
نویسندگان
چکیده
We compute the static self-energy of SU(3) gauge theory in four spacetime dimensions to order α20 in the strong coupling constant α. We employ lattice regularization to enable a numerical simulation within the framework of stochastic perturbation theory. We find perfect agreement with the factorial growth of high order coefficients predicted by the conjectured renormalon picture based on the operator product expansion.
منابع مشابه
Large-order Behaviour due to Ultraviolet Renormalons in QCD
Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in ee annihilation, for hadronic τ decays and the moments of deep-inelastic scattering structure fun...
متن کاملEstimating higher order perturbative coefficients using Borel transform
A new method of estimating higher order perturbative coefficients is discussed. It exploits the rapid, asymptotic growth of perturbative coefficients and the information on the singularities in the complex Borel plane. A comparison with other methods is made in several Quantum Chromodynamics (QCD) expansions. Typeset using REVTEX 1 The ordinary perturbative expansions in weak coupling constant ...
متن کاملRenormalon disappearance in Borel sum of the 1 / N expansion of the Gross - Neveu model mass gap
The exact mass gap of the O(N) Gross-Neveu model is known, for arbitrary N , from non-perturbative methods. However, a “naive” perturbative expansion of the pole mass exhibits an infinite set of infrared renormalons at order 1/N , formally similar to the QCD heavy quark pole mass renormalons, potentially leading to large O(Λ) perturbative ambiguities. We examine the precise vanishing mechanism ...
متن کاملConformal expansions and renormalons
The coefficients in perturbative expansions in gauge theories are factorially increasing, predominantly due to renormalons. This type of factorial increase is not expected in conformal theories. In QCD conformal relations between observables can be defined in the presence of a perturbative infrared fixed-point. Using the Banks-Zaks expansion we study the effect of the large-order behavior of th...
متن کاملQcd at High Energies
The following topics in perturbative QCD are reviewed: recent theoretical progress in higher-order calculations; soft-gluon resummation for hard-scattering processes at large ET and high x; low-x behaviour of structure functions and recent theoretical results on BFKL dynamics; infrared renormalons and power corrections to perturbative predictions; updated summary of αS measurements. CERN-TH/97-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 108 24 شماره
صفحات -
تاریخ انتشار 2012