Some properties of renormalons in gauge theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages + uuencoded file with 7 figures, REVTeX, IFUP-TH-31-94

Scientific paper

We find the explicit operatorial form of renormalon-type singularities in
abelian gauge theory. Local operators of dimension six take care of the first
U.V. renormalon, non local operators are needed for I.R. singularities. In the
effective lagrangian constructed with these operators non local imaginary parts
appearing in the usual perturbative expansion at large orders are cancelled.

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